A boundary element method for solving 2-D and 3-D static gradient elastic problems. I: Integral formulation.

DOI10.1016/S0045-7825(03)00289-5zbMath1054.74740MaRDI QIDQ1420893

D. Polyzos, K. G. Tsepoura, Dimitrios E. Beskos, Stefanos V. Tsinopoulos

Publication date: 23 January 2004

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

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

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Cites Work

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• Fundamental solutions in micropolar elasticity
• Finite element method for orthotropic micropolar elasticity
• On the role of gradients in the localization of deformation and fracture
• Surface instability in gradient elasticity with surface energy
• A simple approach to solve boundary-value problems in gradient elasticity
• Torsional analysis of micropolar elasticity using the finite element method
• Mixed finite element formulations of strain-gradient elasticity problems
• Boundary element method for micropolar elasticity
• Application of local boundary integral equation method into micropolar elasticity
• A boundary element method for solving 3D static gradient elastic problems with surface energy
• Bending and stability analysis of gradient elastic beams
• Static and dynamic analysis of a gradient-elastic bar in tension
• Longitudinal vibrations of a beam: A gradient elasticity approach
• Theories of elasticity with couple-stress
• Nonlinear theory of simple micro-elastic solids. I
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• On the Helmholtz decomposition for polyadics
• Torsional surface waves in a gradient-elastic half-space.