Non-uniqueness of Beltrami–Schaefer Stress Functions
Non-uniqueness of Beltrami–Schaefer Stress Functions
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DOI：
10.1007/s10659-012-9422-1
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发表时间：
2013-01
影响因子：
2
通讯作者：
Y. Wang;J. Rutqvist
中科院分区：
文献类型：
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作者：
Y. Wang;J. Rutqvist
Beltrami和Schaefer导出了不受体积力的弹性物体平衡方程的解，Gurtin证明了解是完备的，即，证明了Beltrami-Schaefer应力函数是平衡方程的通解。本文证明了Beltrami-Schaefer应力函数的不唯一性，并确定了它们的不唯一性程度。最后，我们提出了两个应用的非唯一性作为备注。
Beltrami and Schaefer derived solutions for the equilibrium equations of an elastic objective free of body force, and Gurtin proved that the solutions are complete, i.e., proved that Beltrami–Schaefer stress functions are general solutions of the equilibrium equations. In this paper we show that the Beltrami–Schaefer stress functions are not unique, and we determine their degree of non-uniqueness. Finally, we present two applications of the non-uniqueness as remarks.