TY - JOUR

T1 - A thermodynamically consistent framework to couple damage and plasticity microplane-based formulations for fracture modeling

T2 - development and algorithmic treatment

AU - Dean, A.

AU - Sahraee, S.

AU - Özenc, K.

AU - Reinoso, J.

AU - Rolfes, R.

AU - Kaliske, M.

PY - 2016/6/27

Y1 - 2016/6/27

N2 - For a wide variety of quasi-brittle materials, the constitutive microplane models of damage are capable of describing the anisotropic development and growth of microcracks when materials exhibit inelastic response. Damage development in solids leads to the degradation of the macroscopic material stiffness and results in different response in loading and unloading. On the other hand, the constitutive microplane models of plasticity describe the anisotropic plastic sliding that originates macroscopic permanent deformation and remains upon unloading. For realistic modeling of these materials, in which both damage and plasticity mechanisms can evolve simultaneously, the microplane damage and plasticity models can be coupled in a systematic and robust manner. This work presents a theoretical formulation of a consistent framework to couple both microplane damage and plasticity models for triggering inelastic behavior (damage and plastic effects) in engineering materials. Throughout the derivation, it is specifically shown that the proposed derivation complies with the thermodynamical restrictions with regard to the assessment of the local energy dissipation based on the Clausius–Duhem inequality. Finally, the algorithmic treatment of the developed constitutive framework is outlined for its incorporation into incremental-iterative solution procedures using Newton–Raphson schemes and examined by means of simple benchmark examples.

AB - For a wide variety of quasi-brittle materials, the constitutive microplane models of damage are capable of describing the anisotropic development and growth of microcracks when materials exhibit inelastic response. Damage development in solids leads to the degradation of the macroscopic material stiffness and results in different response in loading and unloading. On the other hand, the constitutive microplane models of plasticity describe the anisotropic plastic sliding that originates macroscopic permanent deformation and remains upon unloading. For realistic modeling of these materials, in which both damage and plasticity mechanisms can evolve simultaneously, the microplane damage and plasticity models can be coupled in a systematic and robust manner. This work presents a theoretical formulation of a consistent framework to couple both microplane damage and plasticity models for triggering inelastic behavior (damage and plastic effects) in engineering materials. Throughout the derivation, it is specifically shown that the proposed derivation complies with the thermodynamical restrictions with regard to the assessment of the local energy dissipation based on the Clausius–Duhem inequality. Finally, the algorithmic treatment of the developed constitutive framework is outlined for its incorporation into incremental-iterative solution procedures using Newton–Raphson schemes and examined by means of simple benchmark examples.

KW - Anisotropic damage

KW - Damage-plasticity coupling

KW - Microplane theory

KW - Quasi-brittle materials

UR - http://www.scopus.com/inward/record.url?scp=84976254380&partnerID=8YFLogxK

U2 - 10.1007/s10704-016-0131-9

DO - 10.1007/s10704-016-0131-9

M3 - Article

AN - SCOPUS:84976254380

VL - 203

SP - 115

EP - 134

JO - International journal of fracture

JF - International journal of fracture

SN - 0376-9429

IS - 1-2

ER -