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Quasi-principal axis method in finite deformation

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Abstract

A quasi-principal axis frame means a unit orthogonal frame in which the shear strains are small. As an extension of Hill's principal axis method, we establish the approximate representations for various strains, the finite rotation tensor, spins, strain rates, conjugate stresses and their rates with respect to quasi-principal axes. The quasiprincipal axis method may function as a new basis of numerically analyzing finite deformation problems.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Qinghua University, 100084, Beijing, P. R. China

    Zheng Qianshui

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  1. Zheng Qianshui
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Project supported by the State Education Commission Foundation of China and the National Distinguished Young Scientist Foundation of China

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Qianshui, Z. Quasi-principal axis method in finite deformation. Appl Math Mech 17, 909–921 (1996). https://doi.org/10.1007/BF00147128

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  • DOI: https://doi.org/10.1007/BF00147128

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