2020IOP Conference Series Materials Science and EngineeringOpen access

General Stress Fields of Orthotropic Plate with Mode II Crack

Long Zhang, Purong Jia, Yongyong Suo, Cheng Jia

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Abstract

Abstract The plane crack problem of the orthotropic plate is discussed for the shear loading. The solution of this problem is mainly achieved by the complex variable method. Essential equations are introduced fully on the basis of linear elastic mechanics. The stress functions have been given to meet the needs of shear mode II crack states for orthotropic materials. The formulae for stress fields are derived by the complex functions in two cases. With the simplification of relative functions, the expressions of the singular stress fields in the crack-tip are determined by the real functions.

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Abstract The plane crack problem of the orthotropic plate is discussed for the shear loading. The solution of this problem is mainly achieved by the complex variable method. Essential equations are introduced fully on the basis of linear elastic mechanics. The stress functions have been given to meet the needs of shear mode II crack states for orthotropic materials. The formulae for stress fields are derived by the complex functions in two cases. With the simplification of relative functions, the expressions of the singular stress fields in the crack-tip are determined by the real functions.

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Available abstract

Abstract The plane crack problem of the orthotropic plate is discussed for the shear loading. The solution of this problem is mainly achieved by the complex variable method. Essential equations are introduced fully on the basis of linear elastic mechanics. The stress functions have been given to meet the needs of shear mode II crack states for orthotropic materials. The formulae for stress fields are derived by the complex functions in two cases. With the simplification of relative functions, the expressions of the singular stress fields in the crack-tip are determined by the real functions.

Key concepts: Orthotropic material, Stress field, Shear (geology), Stress functions, Structural engineering, Mathematical analysis, Stress (linguistics), Shear stress

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