2020•Journal of Physics Conference SeriesOpen access

Elastic Solution of Stress Boundary Problem for Orthotropic Materials

Purong Jia, Yongyong Suo, Cheng Jia

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Abstract

Abstract The elastic solution of common stress boundary problem is discussed for the plate with orthotropic materials. Essential equations are introduced on the basis of linear elastic mechanics and complex variable method. The complex variable functions including the material parameters are analyzed for solving the partial derivation equation and to meet the needs of the stress boundary conditions. By constructing new stress functions, the mechanic analysis of the orthotropic plate is carried out, and also the stress boundary problem is resolved. The general expressions of the stress fields are determined finally.

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Abstract The elastic solution of common stress boundary problem is discussed for the plate with orthotropic materials. Essential equations are introduced on the basis of linear elastic mechanics and complex variable method. The complex variable functions including the material parameters are analyzed for solving the partial derivation equation and to meet the needs of the stress boundary conditions. By constructing new stress functions, the mechanic analysis of the orthotropic plate is carried out, and also the stress boundary problem is resolved. The general expressions of the stress fields are determined finally.

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Available abstract

Abstract The elastic solution of common stress boundary problem is discussed for the plate with orthotropic materials. Essential equations are introduced on the basis of linear elastic mechanics and complex variable method. The complex variable functions including the material parameters are analyzed for solving the partial derivation equation and to meet the needs of the stress boundary conditions. By constructing new stress functions, the mechanic analysis of the orthotropic plate is carried out, and also the stress boundary problem is resolved. The general expressions of the stress fields are determined finally.

Key concepts: Orthotropic material, Boundary value problem, Stress functions, Stress (linguistics), Boundary (topology), Mathematical analysis, Mathematics, Variable (mathematics)

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