Self-adaptive finite elements in fracture mechanics

DOI10.1016/0045-7825(78)90033-6zbMath0384.73067OpenAlexW2093788118MaRDI QIDQ1249093

Alberto Peano, A. K. Mehta, Barna A. Szabó

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0045-7825(78)90033-6

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (13)

Adaptive \(hp\)-finite element for transient analysis ⋮ Reconsideration of rectangular Lagrange families with hierarchy-ranking bases ⋮ Basis transformation of trial function space in Lagrange interpolation ⋮ Fundamental theory of the semi-radial singularity mapping with applications to fracture mechanics ⋮ Complete Lagrange family for the cube in finite element interpolations ⋮ A combined integral-equation and finite-element method for the evaluation of stress intensity factors ⋮ General complete Lagrange family for the cube in finite element interpolations ⋮ General complete Lagrange interpolations with applications to three-dimensional finite element analysis ⋮ Adaptive approaches and reliability estimations in finite element analysis ⋮ Some recent developments in finite element analysis ⋮ One-dimensional self-adaptive interpolations in the p-convergence procedure ⋮ Full-explicit interpolation formulas for the Argyris triangle ⋮ Methods for combination of finite element and singular integral equation methods

Cites Work

• Unnamed Item
• Hierarchies of conforming finite elements for plane elasticity and plate bending
• Finite element convergence on a fixed grid
• First Cesaro sums for high order finite elements near singularities
• p-convergent finite element approximations in fracture mechanics
• Hierarchal finite elements and precomputed arrays
• Adaptive approximations in finite element structural analysis

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