An anisotropic elastic-viscoplastic damage model for bone tissue

@article{Schwiedrzik2013AnAE,
  title={An anisotropic elastic-viscoplastic damage model for bone tissue},
  author={Johann Jakob Schwiedrzik and Philippe K. Zysset},
  journal={Biomechanics and Modeling in Mechanobiology},
  year={2013},
  volume={12},
  pages={201-213}
}
A new anisotropic elastic-viscoplastic damage constitutive model for bone is proposed using an eccentric elliptical yield criterion and nonlinear isotropic hardening. A micromechanics-based multiscale homogenization scheme proposed by Reisinger et al. is used to obtain the effective elastic properties of lamellar bone. The dissipative process in bone is modeled as viscoplastic deformation coupled to damage. The model is based on an orthotropic ecuntric elliptical criterion in stress space. In… 
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References

SHOWING 1-10 OF 55 REFERENCES
A three-dimensional elastic plastic damage constitutive law for bone tissue
TLDR
A 3D constitutive law describing the macroscopic mechanical behaviour of both cortical and trabecular bone in cyclic (not fatigue) overloads is developed and numerical resolutions of several boundary value problems and a biomechanical application are presented to illustrate the potential of the constitutive model and demonstrate the expected quadratic convergence of the algorithm.
A nonlocal constitutive model for trabecular bone softening in compression
TLDR
A constitutive law is proposed, which captures the compressive behavior of trabecular bone as a porous material with accumulation of irreversible strain and loss of stiffness beyond its yield point and softening beyond its ultimate point.
A constitutive law for trabecular bone
Motivated by applications in orthopaedic surgery, new constitutive laws for trabecular (or spongious) bone are developed in the framework of continuum mechanics, implemented in a mechanical analysis
Constitutive modelling of inelastic behaviour of cortical bone.
Elastic plastic damage laws for cortical bone
Motivated by applications in orthopaedic and maxillo-facial surgery, the mechanical behaviour of cortical bone tissue in cyclic overloads at physiological strain rates is investigated. The emphasis
A damage model for nonlinear tensile behavior of cortical bone.
TLDR
The results demonstrate that the 2-ISV model combining damage (stiffness loss) with slip and viscous behavior could capture the nonlinear tensile behavior of cortical bone in axial and bending loading.
A finite element model for direction-dependent mechanical response to nanoindentation of cortical bone allowing for anisotropic post-yield behavior of the tissue.
TLDR
The numerical model presented in this paper shows that the probe tip-tissue friction and the post-yield deformation modes play a relevant role in this respect; in particular, a small dilatation angle, ruling the volumetric inelastic strain, is required to approach the experimental findings.
Characterization of indentation response and stiffness reduction of bone using a continuum damage model.
Strain- and stress-based continuum damage models—I. Formulation
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