Effects of multiple families of nonlinear fibers on finite deformation near a crack tip in a neo-Hookean sheet

DOI10.1016/j.euromechsol.2021.104324zbMath1475.74110OpenAlexW3168635848MaRDI QIDQ1982310

Yin Liu, Brian Moran

Publication date: 8 September 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104324

zbMATH Keywords

asymptotic methodhyperelastic materialhodograph transformationnonlinear eigenvalue problemcrack tip field

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Stress concentrations, singularities in solid mechanics (74G70) Composite and mixture properties (74E30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite strain analysis of crack tip fields in incompressible hyperelastic solids loaded in plane stress
• Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids
• Large deformations near a tip of an interface-crack between two Neo- Hookean sheets
• Mechanical response of fiber-reinforced incompressible non-linearly elastic solids
• On tensile instabilities and ellipticity loss in fiber-reinforced incompressible nonlinearly elastic solids
• The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids
• The equilibrium field near the tip of a crack for finite plane strain of incompressible elastic materials
• Thin hyperelastic sheets of compressible material: Field equations, Airy stress function and an application in fracture mechanics
• Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids
• Three-dimensional singular elastostatic fields in a cracked neo-Hookean hyperelastic solid
• Constitutive modeling for polymer hydrogels: a new perspective and applications to anisotropic hydrogels in free swelling
• Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues
• Finite strains at the tip of a crack in a sheet of hyperelastic material. I: Homogeneous case. II: Special bimaterial cases. III: General bimaterial case
• Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results
• A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus
• The elastostatic plane strain mode I crack tip stress and displacement fields in a generalized linear neo-Hookean elastomer
• Effects of finite chain extensibility on the stress fields near the tip of a mode III crack
• Instabilities of a Finitely Deformed Fiber-Reinforced Elastic Material
• On fibre dispersion modelling of soft biological tissues: a review
• A new constitutive framework for arterial wall mechanics and a comparative study of material models