Shakedown, self-stresses, and unilateral contact in a dental implant problem

DOI10.1016/j.euromechsol.2004.01.001zbMath1058.74583OpenAlexW2032474591MaRDI QIDQ704371

Francesco Genna

Publication date: 13 January 2005

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.2004.01.001

zbMATH Keywords

Dental implantsFinite ElementsShakedownUnilateral contact

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Cites Work

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• A numerical scheme for integrating the rate plasticity equations with an a priori error control
• A nonlinear inequality, finite element approach to the direct computation of shakedown load safety factors
• An eigen-mode method in kinematic shakedown analysis
• Shakedown of elastic-plastic solids with frictionless unilateral contact boundary conditions
• Shakedown state simulation techniques based on linear elastic solutions
• Plastic limit load of plane frames with frictional contact supports
• Limit analysis of frictional block assemblies as a mathematical program with complementarity constraints
• An algorithm for shakedown analysis with nonlinear yield functions
• A new approach to shakedown analysis for non-standard elastoplastic material by the bipotential.
• An iterative method for shakedown analysis.
• A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes

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