A New Perspective on the Mathematical Modeling of Highly Nonlinear Anisotropic Plastic Flows in a Heterogeneous Solid

机译：高度非线性各向异性塑性流动在异构固体中的数学建模的新观点

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A new mathematical formulation is presented for describing the three-dimensional anisotropic plastic flow behavior of a heterogeneous polycrystalline solid. By using three principal stresses, three loading orientation angles, and a generally non-quadratic, real-valued stress exponent, a mathematical theory of anisotropic plasticity is formulated as two coupled orthogonal series expansions in both the 3D principal stress space (the π-plane) and the 3D loading orientation space. A geometrical interpretation of the new mathematical representation of anisotropic plasticity is offered. Specific examples are given to illustrate the application of the proposed theory for modeling the plastic anisotropy of orthotropic polycrystalline sheets under uniaxial and biaxial tension.

机译：提出了一种新的数学制剂，用于描述非均相多晶固体的三维各向异性塑性流动。通过使用三个主应力，三个加载方向角和一般非二次，实值的应力指数，各向异性可塑性的数学理论被制定为3D主应力空间（π平面）中的两个耦合正交串联膨胀。）和3D加载方向空间。提供了各向异性可塑性新数学表示的几何解释。给出了具体实施例来说明提出的理论应用用于在单轴和双轴张力下模拟正交多晶板塑性各向异性的塑性各向异性。

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《International Conference on Texture and Anisotropy of Polycrystals(ITAP 2)》|2005年||共6页
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作者
Wei Tong;
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正文语种
中图分类晶体物理化学过程;
关键词
anisotropic plasticity; polycrystalline texture; 3D yield surface, and plastic flow potential;

机译：各向异性可塑性;多晶纹理;3D屈服表面;塑料流动势;

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4. A New Perspective on the Mathematical Modeling of Highly Nonlinear Anisotropic Plastic Flows in a Heterogeneous Solid [C] . Wei Tong International Conference on Texture and Anisotropy of Polycrystals(ITAP 2) . 2005

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A New Perspective on the Mathematical Modeling of Highly Nonlinear Anisotropic Plastic Flows in a Heterogeneous Solid

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