Academic Edi o : Bongju Kim
Recei ed: 2 May 2025
Re ised: 31 May 2025
Accep ed: 3 June 2025
Published: 7 June 2025
Ci a ion: González-Mede os, P.;
Rod íguez-Gue a, J.; González, J.E.;
Pica do, A.; To es, Y. A Fini e Elemen
Analysis o a New Den al Implan
Design: The In luence o he Diame e ,
Leng h, and Ma e ial o an Implan on
I s Biomechanical Beha io . Ma e ials
2025,18, 2692. h ps://doi.o g/
10.3390/ma18122692
Copy igh : © 2025 by he au ho s.
Licensee MDPI, Basel, Swi ze land.
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dis ibu ed unde he e ms and
condi ions o he C ea i e Commons
A ibu ion (CC BY) license
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A icle
A Fini e Elemen Analysis o a New Den al Implan Design: The
In luence o he Diame e , Leng h, and Ma e ial o an Implan on
I s Biomechanical Beha io
Ped o González-Mede os 1, Jenni e Rod íguez-Gue a 1, Jesús E. González 1,2,*, Albe o Pica do 3
and Yadi To es 4,*
1
Depa amen o de Bioma e iales Ce ámicos y Me álicos, Cen o de Bioma e iales, Uni e sidad de La Habana,
A e. Uni e sidad s/n En e G y Ronda, Vedado, La Habana 10400, Cuba;
[email p o ec ed] (P.G.-M.); jenni e [email p o ec ed] (J.R.-G.)
2G upo de Biomecánica, Facul ad de Mecánica, Uni e sidad Tecnológica de la Habana “José An onio
Eche e ía”, Di ección Calle 114, # 11901, e/Ciclo ía y Ro onda, Ma ianao, Cujae, La Habana 19390, Cuba
3
Depa amen o de Ingenie ía del Diseño, Escuela Poli écnica Supe io de Se illa, Uni e sidad de Se illa, Calle
Vi gen de Á ica, 7, 41011 Se illa, Spain; apica [email p o ec ed]
4Ingenie ía y Ciencia de los Ma e iales y del T anspo e, Escuela Poli écnica Supe io de Se illa, Uni e sidad
de Se illa, Calle Vi gen de Á ica, 7, 41011 Se illa, Spain
*Co espondence: [email p o ec ed] (J.E.G.); [email p o ec ed] (Y.T.)
Abs ac : I is widely ecognized ha excessi e s ess and/o s ain can lead o pe i-implan
bone a ophy; he e o e, he clinical success o den al implan s is in insically ela ed o hei
biomechanical beha io . This s udy e alua es he in luence o he diame e , leng h, and
ma e ial [Ti6Al4V (
α
+
β
Ti) and Ti35Nb7Z 5Ta (
β
-Ti)] o a no el cylind ical den al implan
on s ess and s ain le els wi hin maxilla y bone o ype II quali y. The implan design
aims o ensu e an app op ia e dis ibu ion o s esses and s ains wi hin he pe i-implan
bone s uc u es (co ical and abecula bones) while also acili a ing su gical machining by
equi ing a simple, linea , and less expensi e bone incision. This app oach minimizes he
isk o he mal nec osis, a common complica ion in os eo omies o conical implan s ha
can lead o pe i-implan bone loss. Using ini e elemen analysis, s ess and s ain pa e ns
we e e alua ed in he maxilla y second p emola egion unde s a ic delayed loading. The
esul s e eal ha he co ical bone s ains emained below he c i ical h eshold (0.003)
o p e en eso p ion. In he abecula bone, only la ge diame e /leng h con igu a ions
sa is ied he p e ious s ain c i e ion. In all simula ions, abecula bone s ess emained
below 3 MPa, whe eas co ical bone s ess peaked a 78 MPa. No ably, he implan model
wi h he la ges diame e /leng h minimized s ess and s ain concen a ions in ype II bone
when compa ed o smalle designs, he eby demons a ing i s biomechanical ad an age.
Keywo ds: den al implan ; ini e elemen analysis; biomechanical beha io ; s ess shielding
Phenomenon; β-Ti alloy; implan dimensions
1. In oduc ion
In ecen decades, subs an ial p og ess has been achie ed in p os he ic den is y,
leading o no able imp o emen s in bo h den al implan echnology and su gical echniques.
The p ima y ocus o hese ad ances has been o ensu e p edic able clinical ou comes while
simul aneously enhancing unc ional pe o mance and es he ic esul s in pa ien s wi h
comple e o pa ial eden ulism [
1
]. The e icacy o p os he ic ehabili a ion depends on
mul iple a iables ha can in luence he biomechanical in e ac ion be ween he implan
Ma e ials 2025,18, 2692 h ps://doi.o g/10.3390/ma18122692
Ma e ials 2025,18, 2692 2 o 20
and he osseous issue [
2
,
3
]. These ac o s encompass he exac posi ioning o he implan ,
he inhe en mechanical and s uc u al p ope ies o he bone issue, he mechanical and
geome ic ea u es o he implan i sel , and he in ensi y and ype o load ansmi ed
om he implan o he su ounding bone [
4
–
6
]. Addi ionally, i is necessa y o conside
pa ien -speci ic ac o s such as smoking habi s and bac e ial en i onmen [7–9].
The success o den al implan ea men depends, among o he ac o s, on he e icien
ans e o occlusal loads a he bone–implan in e ace [
10
]. Mul iple elemen s, including
he loading egimen, implan su ace opog aphy, a ailable bone olume, as well as he ma-
e ial p ope ies and design cha ac e is ics o he implan , in luence his load ans e [
11
].
An op imal design can mi iga e s ess and s ain concen a ions while imp o ing hei
dis ibu ion pa e ns, hus imp o ing he p obabili y o long- e m implan su i al [
12
].
S ess and s ain dis ibu ions in he pe i-implan bone a e di ec ly a ec ed by he na u e
o he applied load [
13
]. Excessi e mechanical loading (o e load condi ions) may ini ia e
bone mic o- ac u es, po en ially leading o implan loosening o ca as ophic ailu e. Fu -
he mo e, o e load si ua ions can cause accele a ed bone eso p ion in he pe i-implan
egion and educe abecula bone densi y [
14
]. Rega ding implan ma e ials, hey mus
demons a e essen ial cha ac e is ics including biocompa ibili y, s uc u al du abili y, and
supe io esis ance o co osion, wea , and mechanical ac u e [15].
The selec ion o an app op ia e den al implan necessi a es a comp ehensi e e alua ion
o he esidual al eola bone, inco po a ing an assessmen o he e ical bone heigh
and mesiodis al dimensions o he eden ulous space, o achie e op imal biomechanical
pe o mance and es he ic esul s [
16
,
17
]. Clinical guidelines ecommend main aining a
minimum dis ance o 1.25 mm be ween an implan and adjacen na u al ee h, p o iding
adequa e space o suppo bone and pe iodon al ligamen issue while ensu ing su icien
ascula supply o success ul osseoin eg a ion. Addi ionally, a minimum ci cum e en ial
bone hickness o 0.5 mm su ounding he implan mus be p ese ed o ensu e he long-
e m clinical s abili y and success o p os he ic ehabili a ion [18,19]. Pos -ex ac ion bone
eso p ion in he maxilla leads o educed esidual bone heigh , pa icula ly in he pos e io
egion, whe e p oximi y o he maxilla y sinus complica es he placemen o s anda d-
leng h implan s [
20
]. Al hough bone g a ing and sinus li p ocedu es a e well-es ablished
ea men op ions, hey a e associa ed wi h inc eased mo bidi y and a p olonged du a ion
o ea men . Sho implan s p o ide a minimally in asi e solu ion wi hou comp omising
p ima y s abili y as la ge diame e s and op imized implan body geome y can compensa e
o educed leng h, he eby enhancing ini ial e en ion in low-densi y maxilla y bone [
21
].
I is impo an o no e ha bone issue esponds o al e a ions in he loading condi ions
o which i is subjec ed. This phenomenon, known as bone emodeling, in ol es he
abili y o he bone o adap and modi y i sel o achie e a balance be ween s eng h and
esis ance [
22
–
24
]. Howe e , o e load condi ions can lead o bone ac u e, a igue ailu e,
and de imen al consequences, including ma ginal bone loss o e en osseoin eg a ion
ailu e [
25
,
26
]. Pe i-implan bone eso p ion can be igge ed by a ious ac o s, such as
su gical auma, bac e ial in ec ions, and s a es o o e load o unde load, bu o a lesse
ex en [
6
,
27
,
28
]. O e load in he pe i-implan bone can occu due o de iciencies in he
load ans e mechanisms, such as malocclusion, inco ec use o he implan , inco ec
design o he p os he ic c own and/o implan , and imp ope placemen o he implan .
Consequen ly, his can esul in high s ess concen a ions and/o s ains a he bone–
implan in e ace and, ul ima ely, bone eso p ion [29,30].
In essence, biomechanical load ans e a he bone–implan in e ace cons i u es a
c i ical de e minan o den al implan success. Op imal implan design, including i s
geome y, diame e , leng h, and h ee-dimensional posi ioning wi hin he maxilla, plays a
pi o al ole in go e ning he occlusal load dis ibu ion and he subsequen bone adap i e
Ma e ials 2025,18, 2692 3 o 20
esponse [
31
–
33
]. A design ha p omo es a balanced load dis ibu ion and minimizes s ess
concen a ions can help p e en bone eso p ion and imp o e he du abili y and clinical
e ec i eness o implan ehabili a ions [34–36].
The use o ini e elemen analysis (FEA) in p os he ic den is y has become a p edom-
inan quan i a i e me hod o in es iga e he biomechanical beha io o den al implan s
in a ious clinical scena ios [
37
,
38
]. This echnique enables he p edic ion o s ess and
s ain dis ibu ions in pe i-implan egions while conside ing mul iple a iables, including
implan and p os hesis design, load magni ude and di ec ion, bone mechanical p ope ies,
and o he case-speci ic condi ions [
39
]. The p incipal ad an age o he FEA me hod lies in
i s abili y o simula e he complexi y o eal clinical si ua ions. Enabling he modeling o
complex geome ies and ma e ials and he in e ac ions be ween a ious componen s o he
biomechanical sys em acili a es a mo e accu a e unde s anding o he mechanical beha io
wi hin bone [
40
,
41
]. Consequen ly, his app oach allows o he iden i ica ion o po en ial
o e loaded egions o unde loaded zones ha may igge bone eso p ion o implan
ailu e [
42
–
44
]. Howe e , i mus be ecognized ha FEA s udies a e no exemp om
ce ain assump ions and limi a ions. These encompass he selec ion o ma e ial p ope -
ies, bounda y condi ion de ini ions, in e ace cha ac e iza ions be ween componen s, and
he gene al modeling me hodology [
35
,
45
]. The alidi y o FEA-de i ed esul s depends
on he igo o hese assump ions and conside a ions and on he p ecise expe imen al
alida ion o he models. Fu he mo e, hese esul s a e used o op imize he design o
den al implan s by inco po a ing modi ica ions in geome y and dimensions [
46
,
47
]. In
summa y, using FEA o examining den al implan biomechanics o e s signi ican bene i s
by enabling comp ehensi e simula ion and analysis o complex bone–implan sys em
in e ac ions [
48
]. Ne e heless, he esul s mus be in e p e ed cau iously as hey emain
subjec o he inhe en assump ions and limi a ions o he modeling app oach, as p e iously
ou lined [49].
Ti6Al4V (
α
+
β
Ti) alloys a e widely used in implan applica ions. Howe e , hei high
elas ic modulus (~110 GPa) and limi ed bioac i i y can lead o s ess concen a ions a he
bone–implan in e ace and con ibu e o pe i-implan bone eso p ion. In con as ,
β
-phase
i anium alloys such as Ti35Nb7Z 5Ta (
β
-Ti) p esen signi ican ad an ages, including a
lowe elas ic modulus (~55 GPa), mo e simila o co ical bone (~10–30 GPa), along wi h
imp o ed co osion esis ance and biocompa ibili y [
50
]. Recen compu a ional and
in i o
s udies ha e shown ha
β
-Ti alloys p omo e mo e a o able s ain dis ibu ions, educing
s ess shielding and imp o ing load ans e a he bone–implan in e ace. Howe e ,
comp ehensi e e alua ions o hei mic omechanical beha io emain limi ed [51].
Al hough widely used, conical implan s exhibi c i ical biomechanical and su gical
limi a ions: (1) hei design induces s ess concen a ion a he apex, inc easing he isk
o mic o ac u es in high-densi y bone ( ypes I and II); (2) complex bone p epa a ion ( a-
pe ed su gical d illing) may cause o e hea ing and nec osis, leading o co ical bone loss,
and (3) educed ini ial bone- o-implan con ac a he apical po ion comp omises ea ly
osseoin eg a ion [
52
]. Cylind ical implan s o e key ad an ages as a po en ial solu ion:
(a) uni o m
load dis ibu ion by elimina ing localized s ess poin s; (b) simpli ied (s aigh )
and less in asi e os eo omy, p ese ing bone in eg i y and minimizing he mal isks;
and (c) g ea e ini ial bone con ac a ea, enhancing osseoin eg a ion in high-densi y bone
( ype II) [
53
]. The s anda dized d illing p o ocol o cylind ical implan s educes su gical
ime, ins umen cos s, and he mal complica ions compa ed o conical sys ems, o e ing
signi ican economic ad an ages in high-densi y bone [
54
]. This pe spec i e challenges
he app oach pa adigm, sugges ing ha cylind ical designs op imize bo h biomechanical
pe o mance and cos -e iciency in speci ic bone pheno ypes, wi h di ec implica ions o
clinical planning and long- e m implan longe i y. A no el single-componen cylind ical
Ma e ials 2025,18, 2692 4 o 20
den al implan was designed, o e ing signi ican ad an ages: i elimina es he mic ogap
and connec ion in e aces p esen in wo-piece sys ems, which a e p one o bac e ial colo-
niza ion, sc ew loosening, and gal anic co osion. In addi ion, i imp o es biomechanical
s abili y by dis ibu ing occlusal o ces uni o mly h ough a single-uni s uc u e, educing
s ess concen a ion a p os he ic junc ions, and i simpli ies clinical wo k lows by a oiding
abu men sea ing inaccu acies, he eby imp o ing p ima y s abili y, a key equi emen o
ea ly unc ional loading.
The objec i e o his s udy is o assess he impac o he diame e , leng h, and ma e ial
(Ti6Al4V (
α
+
β
Ti) and Ti35Nb7Z 5Ta (
β
-Ti)) on he biomechanical beha io o a new
cylind ical den al implan model. Speci ically, i s in luence was e alua ed on he maximum
le els o on Mises equi alen s esses and on Mises s ains in he pe i-implan bone
(co ical and abecula bone) o he second p emola egion o he maxilla y.
2. Ma e ials and Me hods
2.1. Den al Implan Models
The geome y o a single-componen den al implan model used in p e ious s ud-
ies was modi ied o educe p oduc ion cos s and simpli y i s ancho ing p ocess in he
maxilla [
55
,
56
]. Speci ically, he ape o he e e enced design was signi ican ly educed.
Based on hese modi ica ions, six a ian s o he new single-componen den al implan
model (Figu e 1) we e ob ained in he Au odesk In en o 2020 so wa e (Au odesk Inc.,
San F ancisco, CA, USA), di e en ia ed by hei leng h and diame e alues (Table 1). The
implan s had a h ead ha ex ended h oughou he leng h o he implan body o which a
second h ead was added in he p oximal a ea (close o i s neck), bo h wi h a ec angula
p o ile. In he implan body, wo helical g oo es we e ex ended o enable sel - apping
in o he maxilla y bone. Fu he mo e, o de e mine he in luence o i s dimensions on
i s biomechanical beha io , he leng h o he h eaded po ion (implan body, L) and he
diame e o i s neck (D) we e a ied (Table 1).
Figu e 1. The cylind ical implan design used in he simula ions and i s main pa ame e s.
Ma e ials 2025,18, 2692 5 o 20
Table 1. Expe imen al design.
Expe imen al Run Implan Pa ame e
D (mm) L (mm)
A 3.7 8
B 3.7 10
C 3.7 12
D 4.0 8
E 4.0 10
F 4.0 12
2.2. The Assembly o he C own Den al Implan Sys em
To place he implan s, he maxilla model ob ained by Pé ez om medical image
p ocessing was used [
57
]. The maxilla model, including adjacen ee h o he p emola , was
modeled as a single solid body. Cu s we e made o he model, and a geome y smoo hing
p ocess was ca ied ou a he limi s o he p emola a ea o acili a e p ocessing in he
simula ion so wa e.
In Au odesk In en o so wa e, he six den al implan models we e assembled wi h a
ce amic c own, co esponding o he second p emola . Then, h eaded holes we e designed
in he jaw acco ding o he dimensions o each den al implan , and he c own den al implan
sys ems we e placed in hese o o m ou assemblies. Subsequen ly, he assemblies we e
expo ed in .sa o ma o he Abaqus/CAE simula ion so wa e (6.13).
2.3. Analysis Using he Fini e Elemen Me hod
The on Mises equi alen s ess (VMES) and on Mises s ain alues (VMS) in he
co ical and abecula bones we e ob ained by he FEA using he Abaqus/CAE simula ion
so wa e (Simulia Co p, Vélizy-Villacoublay, F ance, e sion 6.13). The sys em componen s
we e expo ed o Abaqus as sepa a e pa s, whe e ma e ial de ini ions we e es ablished
and he mechanical p ope ies speci ied in Table 2we e assigned. Co ical and abecula
bone ( ype II quali y) we e modeled wi h aniso opic ma e ial p ope ies, while iso opic
p ope ies we e assigned o he implan and c own. Addi ionally, all ma e ials we e ea ed
as homogeneous olumes exhibi ing linea elas ic beha io .
Table 2. The p ope ies o he ma e ials used in he sys em componen s.
Ma e ial Young’s Modulus,
E (MPa)
Shea Modulus,
G (MPa)
Poisson’s Ra io,
νRe e ences
Ti6Al4V
(den al implan ) 110,000 - 0.32 [58]
Ti35Nb7Z 5Ta (β-Ti)
(den al implan ) 55,000 - 0.32 [59]
Feldspa hic ce amic
(c own) 82,800 - 0.35 [60]
Co ical bone
Ex = 17,900 *
Ey = 26,600
Ez = 12,500
Gyx = 4500
Gyz = 7100
Gxz= 5300
νxy = 0.26
νxz = 0.31
νyz = 0.28 [61]
T abecula bone
Ex = 1148
Ey = 1148
Ez = 21
Gyx = 68
Gyz = 434
Gxz = 68
νxy = 0.05
νxz = 0.055
νyz = 0.322
* X—bucco-lingual di ec ion; Y—mesio-dis al di ec ion; Z—axial di ec ion (in e o-supe io ).
In e ac ions we e es ablished be ween he con ac su aces o he sys em componen s,
conside ing he physical unions ha exis be ween hese elemen s, wi h he use o a Tie

Ma e ials 2025,18, 2692 6 o 20
ype es ic ion, which implies ha he condi ion o he de ined su aces is a single one. A
global mesh (Figu e 2a), wi h e ahed al elemen s wi h an app oxima e size o 0.7 mm
was implemen ed, whe eas a locally e ined mesh wi h a size o 0.2 mm was used on
con ac su aces. The numbe o nodes and sys em elemen s in all simula ions depends
on he size o he mesh and a ies acco ding o changes in implan geome y. The sys em
wi h he smalles implan dimensions (3.7 and 8 mm) has he lowes numbe o elemen s
and nodes (1,826,206 elemen s and 339,497 nodes), whe eas he sys em wi h he la ges
implan dimensions (4.0 and 12 mm) exhibi s he highes alues o hese pa ame e s
(1,888,761 elemen s and 349,037 nodes). To gua an ee he accu acy o he s ess and s ain
alues ob ained, a con e gence es was ca ied ou , main aining he load and bounda y
condi ions. In his es , a e ahed al mesh wi h a e inemen o 0.16 mm was used o he
con ac su aces, and a e inemen o 0.6 mm was used in he global mesh. The esul was
an e o o less han 2%.
Figu e 2. The ancho age o he den al implan in he maxilla wi h he sys em mesh (a) and bounda y
condi ions and he di ec ion o he loads used in he simula ions (b).
A delayed loading condi ion was simula ed, conside ing he implan as ully osseoin e-
g a ed. Mul idi ec ional occlusal loads we e applied simul aneously along h ee ana omical
axes: axial (117 N), bucco-lingual (21.58 N), and mesio-dis al (29.48 N). Conside ing ha
he implan was ancho ed a he second p emola si e, he applied loads sligh ly inc eased
compa ed o hose used by Himmlo á e al. o a i s p emola [
62
]. The occlusal su ace
was modeled as he en i e c own su ace o he p emola , wi h loads applied ac oss a se
o 30 nodes dis ibu ed on mos o i s geome y o ensu e physiologically ep esen a i e
o ce applica ion (Figu e 2b). This app oach allowed o balanced load ansmission while
accoun ing o ana omical a iabili y (e.g., cusp inclina ion and ma ginal idges) o ensu e
p ope load dis ibu ion. By conside ing he en i e occlusal su ace a he han isola ed
con ac poin s, he model mo e accu a ely eplica es
in i o
loading condi ions, whe e
mas ica ion o ces a e dis ibu ed ac oss he c own. Bounda y condi ions we e imple-
men ed by ully cons aining he bone model, es ic ing all deg ees o eedom o simula e
embedded condi ions.
2.4. Expe imen al Design and S a is ical Analysis
This s udy e alua ed he in luence o wo key pa ame e s on he s ess and s ain
le els in pe i-implan co ical and abecula bone. Th ee di e en h eaded po ion leng hs
(Ls) and wo implan neck diame e s (Ds) we e analyzed using he ini e elemen me hod
simula ions. Consequen ly, he expe imen al design consis ed o six es con igu a ions, as
de ailed in Table 1. The diame e and leng h pa ame e alues used in he simula ed den al
implan models all wi hin he anges used in implan s p oduced by a ious comme cial
manu ac u e s. Howe e , o he leng h alues, expe imen al uns A and D a e conside ed
sho implan s. Six expe imen al uns we e pe o med using he Ti6Al4V alloy, supple-
Ma e ials 2025,18, 2692 7 o 20
men ed by wo addi ional uns (smalles and la ges implan designs A and F) employing
β- i anium Ti35Nb7Z 5Ta.
All s ess and s ain alues we e ex ac ed om he expe imen al uns in he abecula
and co ical bones, and he 300 mos loaded nodes gene a ed by each expe imen al un
we e selec ed o e alua e he biomechanics o he den al implan . The selec ed nodes
we e compiled in Mic oso O ice Excel; subsequen ly, he da a shee s we e expo ed o
S a G aphics Cen u ion XIX so wa e ( .19) (S a poin Technologies Inc., Wa en on, VA,
USA). In his so wa e, box-and-whiske analysis was used o de e mine he VMES and
abe an VMS alues. The alues we e subjec ed o a no mali y es (Kolmogo o –Smi no
es ) and subsequen ly analyzed using an analysis o a iance (ANOVA). Addi ionally, a
K uskal–Wallis es was used o iden i y di e ences be ween g oups, and a alue o
p< 0.05
conside ed s a is ically signi ican .
3. Resul s and Discussion
3.1. S ess and S ain Dis ibu ion Pa e ns in Co ical Bone Using Ti6Al4V (α+βTi)
The VMES dis ibu ions and VMS dis ibu ions gene a ed in co ical bone by he
expe imen al uns a e p esen ed in Figu es 3and 4. All e alua ed models p oduced
simila dis ibu ion pa e ns o bo h pa ame e s, cha ac e ized by peak concen a ions in
pe i-implan bone, pa icula ly in he maxilla y supe io egion adjacen o he implan
necks. This obse ed beha io aligns wi h he indings epo ed in p e ious s udies
in ol ing a ini e elemen analysis o den al implan s [
40
,
63
,
64
]. The maximum alues
o bo h mechanical pa ame e s we e consis en ly loca ed a ound he dis al aspec , while
he minimum alues occu ed p edominan ly in a eas in e acing wi h abecula bone.
Rega ding he supe io maxilla y egion, he peak alues o on Mises equi alen s esses
(MVMES) and s ains (MVMS) demons a ed dimensional dependence, which a ied
acco ding o implan geome ic pa ame e s.
Figu e 3. The dis ibu ion o on Mises equi alen s esses in he ex e nal su ace o co ical bone
su ounding he Ti6Al4V (
α
+
β
Ti) den al implan . No e: The le e s indica e he expe imen al un
(see Table 1).
Ma e ials 2025,18, 2692 8 o 20
Figu e 4. The on Mises s ain dis ibu ion in he ex e nal su ace o co ical bone adjacen o he
Ti6Al4V (α+βTi) den al implan . The le e s indica e he expe imen al un (see Table 1).
S ess and S ain Dis ibu ion Pa e ns in Co ical Bone Using Ti35Nb7Z 5Ta (β-Ti)
Figu e 5shows he on Mises s ess and s ain dis ibu ions in co ical bone o
implan s wi h smalle and la ge dimensions ( uns A and F). Bo h implan designs p oduced
simila s ess and s ain pa e ns unde he same condi ions, showing simila esul s o
hose gene a ed by Ti6Al4V den al implan s and p esen ing he highes alues concen a ed
in he pe i-implan bone, a ound he implan neck in he supe io maxilla. These esul s a e
consis en wi h p e ious ini e elemen s udies o den al implan s [
40
,
59
,
60
]. The maximum
alues o VMES and VMS we e obse ed a he dis al si e, while he lowes alues we e
ound in egions adjacen o abecula bone. In he supe io maxilla y a ea, he peak
magni udes o VMES (MVMES) and VMS (MVMS) exhibi ed dimensional dependence,
co ela ing wi h a ia ions in implan geome y.
Ma e ials 2025,18, 2692 9 o 20
Figu e 5. The dis ibu ion o on Mises equi alen s esses (S) and on Mises s ains (E) in he
ex e nal su ace o pe i-implan co ical bone using he Ti35Nb7Z 5Ta (
β
-Ti) implan . The le e s
indica e he expe imen al un (see Table 1).
3.2. Dis ibu ion Pa e ns o S esses and S ains in T abecula Bone Using Ti6Al4V (α+βTi)
Figu es 6and 7p esen he VMES and VMS dis ibu ions in he abecula bone o
all expe imen al con igu a ions. The peak alues o bo h pa ame e s we e concen a ed
p ima ily in wo egions: (1) in he in e ace wi h he apical zone o he implan , and
(2) o
s ain dis ibu ions speci ically, he h eaded implan su ace a he dis al si e. This
mechanical beha io s ems om he geome y o he h ead ac ing as a s ess concen a ion
ea u e due o i s complex h ee-dimensional mo phology.
The implan models p oduced compa able s ess and s ain dis ibu ion pa e ns in
he abecula bone, wi h educed alues o bo h mechanical pa ame e s obse ed in
egions in e acing wi h he double- h eaded po ion. Howe e , a ian s C and F (which
ea u e longe s em leng hs) demons a ed mo e uni o m dis ibu ion pa e ns. Speci ically,
hese con igu a ions showed diminished di e ences be ween VMES and VMS alues when
compa ing dis al e sus mesial si es, as well as be ween pe i-implan bone egions adjacen
o apical e sus p oximal implan sec ions.
Dis ibu ion Pa e ns o S esses and S ains in T abecula Bone Using Ti35Nb7Z 5Ta (
β
-Ti)
The FEA o he VMES and VMS dis ibu ions in abecula bone o he la ges and
smalles implan dimensions ab ica ed using Ti35Nb7Z 5Ta (
β
-Ti) a e shown in Figu e 8.
Consis en wi h he simula ions using he Ti6Al4V alloy, he implan wi h he la ges
leng h and diame e dimensions (F) exhibi ed a signi ican educ ion in he peak VMES
and VMS alues in he abecula bone compa ed o hose gene a ed by a ian A. Highe
VMES alues we e ound a he bone–implan in e ace nea he apical egion, while
peak VMS alues we e concen a ed a ound he dis al h eads, likely due o he ab up
changes in geome y. These esul s highligh he combined mechanical e ec o implan
ea u es: he apical engagemen suppo s p ima y s abili y, while he h ead design a ec s
Ma e ials 2025,18, 2692 16 o 20
o s ess dis ibu ion. These indings highligh ha while
β
-Ti o e s heo e ical ad an-
ages o bone emodeling, i s clinical applica ion equi es ca e ul conside a ion o implan
design and pa ien bone quali y o p e en ha m ul o e loads, pa icula ly in abecula
bone egions.
Fo he clinical implemen a ion o he de eloping implan model, e idence sugges s
p e e en ial selec ion o implan a ian s o maximum diame e and maximum leng h,
con ingen on adequa e dimensions o he ecipien jawbone. Howe e , se e al s udy
limi a ions cons ain he di ec clinical ex apola ion o hese indings. Fi s , he simula ion
me hodology used s a ic loading condi ions unde delayed loading assump ions. Second,
c i ical a iables including pe i-implan bone quali y a ia ions and implan posi ioning
wi hin he jaw we e no inco po a ed in he biomechanical analysis. Consequen ly, u u e
esea ch should ocus on (1) using FEM o in es iga e he e ec s o hese unexamined
a iables on pe i-implan s ess/s ain dis ibu ions and (2) alida ing cu en indings
h ough expe imen al es ing, including con olled in i o expe imen a ion.
4. Conclusions
This in es iga ion employed ini e elemen analysis o assess he biomechanical pe -
o mance o a no el den al implan design, wi h pa icula ocus on e alua ing how he
implan leng h and diame e in luence MVMES and MVMS in pe i-implan bone. The main
indings a e as ollows:
1.
Peak s ess concen a ions occu ed in pe i-implan co ical bone, pa icula ly in he
maxilla y su ace egion adjacen o he implan neck. This mechanical beha io
s ems om he ele a ed Young’s modulus o he co ical bone, which enhances i s
load-bea ing capaci y. On he con a y, he maximum s ain alues we e localized in
he abecula bone egions.
2.
Bo h heimplan diame e andleng hdemons a eds a is ically signi ican e ec s(
p< 0.05
)
on he peak equi alen s ess and s ain alues in co ical and abecula bone.
3.
Implan diame e eme ged as he dominan a iable a ec ing mechanical esponse,
a ibu able o inc eased implan –bone con ac a ea ha p omo es load dissipa ion
and consequen ly educes pe i-implan s ess/s ain magni udes.
4.
Supe io biomechanical ou comes consis en ly co ela ed wi h la ge implan dimen-
sions, sugges ing enhanced clinical pe o mance po en ial o c own–implan sys ems
ea u ing maximum diame e and leng h con igu a ions.
5.
The ma e ial o he den al implan demons a ed a s a is ically signi ican in luence
(
p< 0.05
) on he maximum le els o s ess and s ain gene a ed in he co ical and a-
becula bones. In gene al, he Ti35Nb7Z 5Ta alloy implan s showed highe maximum
alues o VMES and VMS han hose gene a ed by Ti6Al4V alloy implan s.
Au ho Con ibu ions: P.G.-M.: Concep ualiza ion, Me hodology, In es iga ion, Fo mal Analysis,
Valida ion, and W i ing—O iginal D a . J.R.-G.: In es iga ion, Concep ualiza ion, Me hodology,
Fo mal Analysis, Valida ion, and W i ing—O iginal D a . J.E.G.: P ojec Adminis a ion, Concep ual-
iza ion, Me hodology, Supe ision, W i ing—O iginal D a , and W i ing—Re iew and Edi ing. A.P.:
Me hodology, W i ing—O iginal D a , and W i ing—Re iew and Edi ing. Y.T.: Concep ualiza ion,
P ojec Adminis a ion, Supe ision, Me hodology, W i ing—O iginal D a , and W i ing—Re iew
and Edi ing. All au ho s ha e ead and ag eed o he published e sion o he manusc ip .
Funding: This publica ion is pa o p ojec PID2022-137911OB-I00, unded by MICIU/AEI/10.13039/
501100011033 and by ERDF/EU. Also, he Minis y o Science and Inno a ion o Spain o hei
con ibu ion o he p ojec h ough g an PDC2022-133369-I00, as well as, he p ojec PN385LH007-
035: 9827 o he Cuban Na ional Science and Technology p og am: Bio- echnology, Pha maceu ical
Indus y, and Medical Technologies.

Ma e ials 2025,18, 2692 17 o 20
Ins i u ional Re iew Boa d S a emen : No applicable.
In o med Consen S a emen : No applicable.
Da a A ailabili y S a emen : The o iginal con ibu ions p esen ed in his s udy a e included in he
a icle. Fu he inqui ies can be di ec ed o he co esponding au ho s.
Acknowledgmen s: The au ho s would like o hank he labo a o y echnicians a he Uni e si y o
Se ille o hei suppo in cha ac e izing he implan p o o ypes unde de elopmen o co obo a e
he esul s o he ini e elemen models p esen ed in his wo k.
Con lic s o In e es : The au ho s decla e no con lic s o in e es .
Abb e ia ions
The ollowing abb e ia ions a e used in his manusc ip :
FEA Fini e elemen analysis
VMES on Mises equi alen s ess
VMS on Mises s ain
MVMES Maximum on Mises equi alen s ess
MVMS Maximum on Mises s ain
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