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Coordinates of principal stresses for elastic plane problem. (English) Zbl 0889.73007

Summary: We discuss the equilibrium equations in orthogonal curvilinear coordinates formed by curves of principal stresses, and illustrate their properties through a simple example. Thus we present an alternative way to solve elasticity problems, i.e., by assumption of orthogonality of curves of principal stresses.

MSC:

74B10 Linear elasticity with initial stresses
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References:

[1] Xu Zhilun,Elasticity, Higher Education Press, Beijing (1982) (in Chinese)
[2] Chien Weizang and Yeh Kaiyuan,Elasticity, Science Press, Beijing (1980). (in Chinese)
[3] Su Buqing, et al.,Differential Geometry. Higher Education Press, Beijing (1983). (in Chinese) · Zbl 0679.68206
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