A framework for multiplicative elastoplasticity with kinematic hardening coupled to anisotropic damage

By Andreas Menzel, Magnus Ekh, Kenneth Runesson, Paul Steinmann. 2005

137 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8b29a878e1d491ae5f8860929a1aea04fd94d7e9

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In Biomedical Engineering

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, unknown): “[333] or Voyiadjis and Dorgan [334].”
A plasticity and anisotropic damage model for plain concrete (2007, unknown): “…undamaged material in which the Cauchy stress tensor, rij, can be replaced by the effective stress tensor, rij (Cordebois and Sidoroff, 1979; Murakami and Ohno, 1981; Voyiadjis and Kattan, 1999): rij ¼ Mijklrkl ð1Þ where Mijkl is the fourth-order damage effect tensor that is used to make…”
A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts (2018, methodology): “In Menzel and Steinmann (2003); Menzel et al. (2005) a staggered algorithm was proposed for the coupling of anisotropic continuum damage with multiplicative elasto-plasticity, in which the Newton iteration for the tensor-valued internal state variables was embedded into a scalar-valued outer…”
Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, background): “Many have recognized that damage represented by D is not isotropic, and have introduced vectorial and tensorial modifications to this idea to simulate failure processes associated with crystallographic planes, intergranular fracture, or growth and distortion of voids (Brunig and Ricci, 2005; Luccion”
Variationally consistent modeling of finite strain plasticity theory with non-linear kinematic hardening (2010, methodology): “The second geometrically non-linear extension of the original Armstrong-Frederick model presented here makes use of the so-called center configuration, originally proposed in [32] (see also [33] for further elaborations).”