Stress functions for cosserat elasticity
Stress functions for cosserat elasticity
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DOI：
10.1016/0020-7683(70)90091-0
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发表时间：
1970-04
影响因子：
3.6
通讯作者：
S. Cowin
中科院分区：
文献类型：
--
作者：
S. Cowin
本文给出了线性无限小各向同性Cosserat弹性力学位移平衡方程的完全解。这个解决方案是在应力函数类似的经典弹性的Papkovitch功能和那些发现由Mindlin和Tiersten为偶应力弹性。以前完整的解决方案，这些方程给出的明德林和Neuber包含三个以上的标量势比采用本解决方案。
In this paper a complete solution is obtained to the displacement equations of equilibrium for linear infinitesimal isotropic Cosserat elasticity. This solution is in terms of stress functions analogous to the Papkovitch functions of classical elasticity and those found by Mindlin and Tiersten for couple stress elasticity. Previous complete solutions to these equations given by Mindlin and by Neuber contain three more scalar potentials than are employed in the present solution.