An element-free Galerkin formulation for stable crack growth in an elastic solid

DOI10.1016/S0045-7825(97)00133-3zbMath0958.74080OpenAlexW2017955581MaRDI QIDQ1962656

Yu Xu, Sunil Saigal

Publication date: 9 April 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00133-3

zbMATH Keywords

momentum equationstress intensity factorenergy release rateelement free Galerkin methodstable crack growthsteep gradientsmoving least-squares approximationsnear-tip fieldscrack opening profilesinertia force termspatial gradient term

Mathematics Subject Classification ID

Related Items (7)

Fatigue crack growth simulations of homogeneous and bi-material interfacial cracks using element free Galerkin method ⋮ HIGH ROCK SLOPE STABILITY ANALYSIS USING THE ENRICHED MESHLESS SHEPARD AND LEAST SQUARES METHOD ⋮ Extending radial point interpolating meshless methods to the elasto-plastic analysis of aluminium alloys ⋮ The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems ⋮ New local near-tip functions for the element-free Galerkin method ⋮ Elasto‐plastic analysis of plates by the element free Galerkin method ⋮ The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems.

Cites Work

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• Element-free Galerkin method for wave propagation and dynamic fracture.
• A new implementation of the element free Galerkin method
• The application of moving finite elements for the study of crack propagation in linear elastic solids
• Surfaces Generated by Moving Least Squares Methods
• The generation of elements with singularities
• Elastodynamic fields near running cracks by finite elements
• Element‐free Galerkin methods

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