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Journal of Biomechanics
Volume 35, Issue 1
, Pages 1-17
, January 2002
Anisotropic bone remodelling model based on a continuum damage-repair theory
References
- . A continuous ware technique for the measurement of the elastic properties of bone. Journal of Biomechanics. 1984;17:349–361
-
.
An approach for time-dependent bone modeling and remodeling-theoretical development.
Journal of Orthopaedic Research. 1990;8:551–651
-
.
An approach for time-dependent bone modeling and remodeling-application (a preliminary remodeling simulation).
Journal of Orthopaedic Research. 1990;8:662–670
- . Mechanical loading history and skeletal biology. Journal of Biomechanics. 1987;20:1095–1109
- . Relationships between loading history and femoral cancellous bone architecture. Journal of Biomechanics. 1989;22:231–244
-
Ciarlet, P.G., 1988. Mathematical elasticity.In: J.L. Lions, G. Papanicolaon, H. Fuyta, H.B. Keller (Eds.), Three-Dimensional Elasticity, Vol I. Elsevier, Amsterdam, p. 20.
-
.
Damage induced elastic anisotropy. Mechanical behavior of anisotropic solids.
Proceedings of the EUROMECH Colloque. 1982;115:761–774
- . Wolff's law of trabecular architecture at remodeling equilibrium. Journal of Biomechanical Engineering. 1986;108:83–88
- . An evolutionary Wolff's law for trabecular architecture. Journal of Biomechanical Engineering. 1992;114:129–136
-
Fernandes, P., Rodrigues, H., Jacobs, C.R., 1998. A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of Wolff. Computer Methods in Biomechanics and Biomedical Engineering.
-
Fridez, P., 1996. Modélisation de l’adaptation osseuse externe. Physics Department, EPFL, Lausanne.
-
Garcı́a, J.M., 1999. Modelos de Remodelación Ósea: Análisis numérico y aplicaciones al diseño de fijaciones de fracturas del fémur proximal. Tesis Doctoral, Universidad de Zaragoza.
-
.
Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor.
Journal of Material Science. 1984;19:761–767
-
Huiskes, et al., 1987. Adaptive bone-remodeling theory applied to prosthetic-design analysis. Journal of Biomechanics 20, 1135–1150.
-
Jacobs, C.R., 1994. Numerical Simulation of Bone Adaptation to Mechanical Loading. Dissertation for the Degree of Doctor of Philosophy, Stanford University.
- Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations. Journal of Biomechanics. 1997;30:603–613
-
.
Time of the rupture process under creep conditions, IVZ Akad.
Naukovi S.S.R. Otd Tech Nauka. 1958;8:26–31
-
Karlsson, L.M., Cruz-Orive, L.M., 1993. Application of the star volume distribution to characterize structural anisotropy of a duplex stainless steel. In: Stereology in Materials Science: Demostration of Some Methods, Royal Institute of Technology, Stockholm.
-
Koiter, 1953. Stress–strain relations, uniqueness and variational theorems for elastoplastic materials with a singular yield surface. Quarterly of Applied Mathematics 11, 350, 354.
-
.
Theory of Elasticity of an Anisotropic Body. Moscow: Mir Publishers; 1981;
-
.
A continuous damage mechanics model for ductile fracture.
Journal of Engineering Materials and Technology. 1985;107:83–89
-
.
Porosity and specific surface of bone.
CRC Critical Reviews in Biomedical Engineering. 1984;10(3):179–222
-
McClintock, F., 1968. A criterion for ductile fracture by the growth of holes. Journal of Applied Mechanics 35.
- . Bone strain gage date and theoretical models of functional adaptation. Journal of Biomechanics. 1995;28:465–469
- . Estimation of structural anisotropy based on volume orientation. A new concept. Journal of Microscopy. 1990;157:149–182
-
Odgaard, et al., 1997. Fabric and elastic principal directions of cancellous bone are closely related. Journal of Biomechanics 30, 487–495.
-
.
Computational simulation of internal bone remodeling.
Archives of Computational Methods in Engineering. 1997;4:295–323
- . Prediction of bone adaptation using damage accumulation. Journal of Biomechanics. 1994;27:1067–1076
-
.
The mechanical properties of cortical bone.
Journal of Bone and Joint Surgery. 1974;56:1001–1022
- . The elastic and ultimate properties of compact bone tissue. Journal of Biomechanics. 1975;8(6):393–405
-
.
A progressive damage continuum model for granular materials.
Computational Methods in Applied Mechanical Engineering. 1984;42:1–18
-
.
On ductile enlargement of voids in triaxial stress fields.
Journal of Mechanics and Physics of Solids. 1969;17:201–217
-
Rodrigues, H., et al., 1998. Global and local material optimization models applied to anisotropic bone adaptation. Iutam Symposium—Synthesis in Bio Solid Mechanics.
-
.
Computational Inelasticity. New York: Springer; 1998;
-
.
Strain- and stress-based continuum damage models. I. Formulation.
International Journal of Solids Structures. 1987;23:821–840
-
van Rietbergen, et al., 1996. Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture. Journal of Biomechanics 29, 1653–1657.
- . The behaviour of adaptive bone-remodeling simulation models. Journal of Biomechanics. 1992;25:1425–1441
- . Influence of physical activity on the regulation of bone density. Journal of Biomechanics. 1988;21(10):825–837
- . The quantitative morphology of anisotropic trabecular bone. Journal of Microscopy. 1974;101:153–168
-
.
Das gesetz der transformation der knochen. Berlin: Hirschwald; 1892;
- . Ultrasonic have propagation in human cortical bone (II measurements of elastic properties and micro-hardness). Journal of Biomechanics. 1976;9:459–464
- . A global relationship between trabecular bone morphology and homogenized elastic properties. Journal of Biomechanical Engineering. 1998;120:640–646
PII: S0021-9290(01)00178-6
© 2002 Elsevier Science Ltd. All rights reserved.
Next »
Journal of Biomechanics
Volume 35, Issue 1
, Pages 1-17
, January 2002
