摘要：The micropolar microplane theory by Etse, Nieto and Steinmann (2002) [14] is based on a reformulation of the classical Cosserat theory within the framework of the microplane concept. The resulting constitutive equations and models include available and more precise information of the complex microstructure of engineering materials like concrete and other composites as compared with the classical smeared crack-based material theories. The main aim of this enriched material formulation was the macroscopic modeling and description of anisotropic material response behaviors by means of the well-developed microplane concept applied within a micropolar continuum setting. To derive the micropolar microplane theory a thermodynamically consistent approach was considered whereby the main assumption was the integral relation between the macroscopic and the microscopic free energy as advocated by Carol, Jirasek and Bazant (2001) [10] and Kuhl, Steinmann and Carol (2001) [15]. In this approach the microplane laws were chosen such that the macroscopic Clausius-Duhem inequality was fully satisfied. This theoretical framework was considered to derive both elastic and elastoplastic micropolar microplane models. After refreshing the most relevant equations of the micropolar microplane theory, this paper focuses on the evaluation of the localization predictions of this constitutive formulation. A comparative analysis with the predictions of the classical micropolar constitutive theory is also included.
其他摘要：The micropolar microplane theory by Etse, Nieto and Steinmann (2002) [14] is based on a reformulation of the classical Cosserat theory within the framework of the microplane concept. The resulting constitutive equations and models include available and more precise information of the complex microstructure of engineering materials like concrete and other composites as compared with the classical smeared crack-based material theories. The main aim of this enriched material formulation was the macroscopic modeling and description of anisotropic material response behaviors by means of the well-developed microplane concept applied within a micropolar continuum setting. To derive the micropolar microplane theory a thermodynamically consistent approach was considered whereby the main assumption was the integral relation between the macroscopic and the microscopic free energy as advocated by Carol, Jirasek and Bazant (2001) [10] and Kuhl, Steinmann and Carol (2001) [15]. In this approach the microplane laws were chosen such that the macroscopic Clausius-Duhem inequality was fully satisfied. This theoretical framework was considered to derive both elastic and elastoplastic micropolar microplane models. After refreshing the most relevant equations of the micropolar microplane theory, this paper focuses on the evaluation of the localization predictions of this constitutive formulation. A comparative analysis with the predictions of the classical micropolar constitutive theory is also included.
