An Asymptotic Finite Deformation Analysis for an Isotropic Incompressible Hyperelastic Half-Space Subjected to a Tensile Point Load

DOI10.1137/S0036139900376993zbMath1030.74008OpenAlexW2058838851MaRDI QIDQ2783703

Paul G. Warne, Debra Polignone Warne

Publication date: 17 April 2002

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139900376993

zbMATH Keywords

conservation lawsasymptotic analysisBoussinesq problemstrain-energy density functionfinite deflectionisotropic nonlinear elasticitygeneralized power-law materialnonlinear incompessible hyperelastic half-spacetensile point load

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (4)

A Summary of Asymptotic Finite Deformation Results for a Point Load on a Hyperelastic Half-Space ⋮ Unnamed Item ⋮ On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error ⋮ Asymptotic analysis of finite deformation in a nonlinear transversely isotropic incompressible hyperelastic half-space subjected to a tensile point load

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