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Damage characteristics and constitutive modeling of the 2D C/SiC composite: Part Ⅱ–Material model and numerical implementation
作者姓名:Li Jun  Jiao Guiqiong  Wang Bo  Li Liang  Yang Chengpeng
作者单位:Department of Engineering Mechanics, Northwestern Polytechnical University
基金项目:supported by the Basic Research Foundation of Northwestern Polytechnical University of China(No.JC20110219)
摘    要:In this work, a macroscopic non-linear constitutive model accounting for damage, inelastic strain and unilateral behavior is proposed for the 2D plain-woven C/Si C composite. A set of scalar damage variables and a new thermodynamic potential expression are introduced in the framework of continuum damage mechanics. In the deduced constitutive equations, the material's progressive damage deactivation behavior during the compression loading is described by a continuous function, and different deactivation rates under uniaxial and biaxial compression loadings are also considered. In damage evolution laws, the coupling effect among the damage modes and impediment effect of compression stress on the development of shear damage in different plane stress states are taken into account. Besides, the general plasticity theory is applied to describing the evolution of inelastic strain in tension and/or shear stress state. The Tsai–Wu failure criterion is adopted for strength analysis. Additionally, the material model is implemented as a user-defined material subroutine(UMAT) and linked to the ABAQUS finite element software, and its performance is demonstrated through several numerical examples.

关 键 词:Ceramic  matrix  composites  Continuum  damage  mechanics  Damage  deactivation  Finite  element  analysis  Plasticity  theory  Strength  of  materials

Damage characteristics and constitutive modeling of the 2D C/SiC composite:Part II-Material model and numerical implementation
Li Jun,Jiao Guiqiong,Wang Bo,Li Liang,Yang Chengpeng.Damage characteristics and constitutive modeling of the 2D C/SiC composite:Part II-Material model and numerical implementation[J].Chinese Journal of Aeronautics,2015,28(1):314-326.
Authors:Li Jun  Jiao Guiqiong  Wang Bo  Li Liang  Yang Chengpeng
Institution:Department of Engineering Mechanics, Northwestern Polytechnical University, Xi''an 710129, China
Abstract: In this work, a macroscopic non-linear constitutive model accounting for damage, inelastic strain and unilateral behavior is proposed for the 2D plain-woven C/SiC composite. A set of scalar damage variables and a new thermodynamic potential expression are introduced in the framework of continuum damage mechanics. In the deduced constitutive equations, the material''s progressive damage deactivation behavior during the compression loading is described by a continuous function, and different deactivation rates under uniaxial and biaxial compression loadings are also considered. In damage evolution laws, the coupling effect among the damage modes and impediment effect of compression stress on the development of shear damage in different plane stress states are taken into account. Besides, the general plasticity theory is applied to describing the evolution of inelastic strain in tension and/or shear stress state. The Tsai-Wu failure criterion is adopted for strength analysis. Additionally, the material model is implemented as a user-defined material subroutine (UMAT) and linked to the ABAQUS finite element software, and its performance is demonstrated through several numerical examples.
Keywords:Ceramic matrix composites  Continuum damage mechanics  Damage deactivation  Finite element analysis  Plasticity theory  Strength of materials
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