Stress and Strain of Cracked Orthotropic Sheet

5th Annual International Conference on Material Engineering and Application

工业技术（总论）;材料科学

Jia, Purong^1 ; Wang, Gang^1 ; Zhang, Long^1 ; Suo, Yongyong^1

Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an

710129, China^1

关键词: Analytic functions;    Complex functions;    Complex variable;    Elasticity coefficients;    Material parameter;    Orthotropic materials;    Stress and strain;    Stress functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/484/1/012029/pdf
DOI  :  10.1088/1757-899X/484/1/012029

来源: IOP

【 摘 要 】

The analytic function of complex variable including a material parameter is analyzed fully. The new stress function has been formed by the complex function method. Typical shear mode II crack states are considered to orthotropic materials. The boundary shear loading problem of cracked orthotropic sheet is studied and the formulae for stress fields are derived. The singular strain fields are also discussed. And the expressions of the singular stress and strain in the crack-tip are determined with inclusion of the material elasticity coefficients.