Finite Strain Analysis of Crack Tip Fields in Yeoh-Model-Based Rubber-Like Materials which Are Loaded in Plane Stress

Abstract:

The dominant asymptotic stress feild near the tip of a Mode-I crack of Yeoh-model-based rubber-like materials is determined. The analysis bases on the fully nonlinear equilibrium theory of incompressible hyperelastic solids. First, The nonlinear PDE (partial differential equation) governig the leading behavior of y₂ is transformed to a linear PDE. Then the linear PDE is solved and the solution of y₂ is obtained. With the solution of y₂ and boundery conditions the numerical solution of y₁ is obtained,too.Finally,the analysis solution in polar coordinate of the first Kirchhoff Stress in plane stress state is obtained .

• Periodical: Applied Mechanics and Materials (Volume 127)
• Pages: 477-483
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.127.477
• Online since: October 2011
• Authors: Zhi Yu Wang
• Keywords: Asymptotic Analysis, Fractrure Mechanics, Rubber, Yeoh-Model

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