A thermodynamically consistent framework to couple damage and plasticity microplane-based formulations for fracture modeling: development and algorithmic treatment
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- 作者：A. Dean ; S. Sahraee ; K. Özenc ; J. Reinoso ; R. Rolfes…
- 关键词：Microplane theory ; Damage ; plasticity coupling ; Anisotropic damage ; Quasi ; brittle materials
- 刊名：International Journal of Fracture
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：203
- 期：1-2
- 页码：115-134
- 全文大小：
- 刊物类别：Chemistry and Materials Science
- 刊物主题：Characterization and Evaluation of Materials; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering;
- 出版者：Springer Netherlands
- ISSN：1573-2673
- 卷排序：203
文摘
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.