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A linear algebra approach to stress and strain at a point and theories of yield

 

作者: P. R. Milner,  

 

期刊: Strain  （WILEY Available online 1992）
卷期: Volume 28, issue 1  

页码: 3-8

 

ISSN:0039-2103

 

年代: 1992

 

DOI:10.1111/j.1475-1305.1992.tb00781.x

 

出版商: Blackwell Publishing Ltd

 

关键词: Matrix methods;linear algebra;principal stresses and strains;maximum shear stress;octahedral stresses;theories of yield.

 

数据来源: WILEY

 

摘要:

A straightforward method is described whereby the magnitudes and directions of the principal stresses and strains in two or three dimensions may be derived using the matrix methods of elementary linear ulgebra. The ideas are extended to simplify the classical derivation of the extreme values of shear stress and of the octahedral stresses. After a description of several visual aids, the work concludes with a definition of the von Mises yield surface consistent with the foregoing procedures.

 

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