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正交各向异性材料的弹塑性损伤本构关系

The elasto-plastic damage constitutive relations of orthotropic materials

  • 摘要: 基于弹塑性力学和损伤理论,建立了一个与应力球张量有关的正交各向异性材料的混合硬化屈服准则,该准则无量纲化后与各向同性材料的Mises准则同构,在此基础上,进而建立了混合硬化正交各向异性材料的增量型弹塑性损伤本构方程,并以具局部损伤的正交各向异性矩形薄板为例,采用Galerkin法和迭代法,对其弹塑性屈曲问题进行了分析,讨论了局部损伤对正交各向异性矩形薄板弹塑性屈曲临界应力的影响.

     

    Abstract: Based on the elasto-plastic mechanics and continuumdamage theory, a yield criterion that relates to the spherical tensor ofstress is proposed to describe the mixed hardening of damaged orthotropicmaterials, and the dimensionless form of which is isomorphic with the Misescriterion of isotropic materials. Furthermore, the incrementalelasto-plastic damage constitutive equations are established. As an exampleof its application, the elasto-plastic buckling problem of the orthotropicrectangular thin plates with local damage are investigated by using theGalerkin method and iteration method, and the effects of geometricparameters and local damage on the critical buckling stress are discussed.

     

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