Variational approaches to solving initial-boundary value problems in the dynamics of linear elastic systems

DOI10.1016/J.JAPPMATHMECH.2010.01.007zbMath1272.74231OpenAlexW1983129809MaRDI QIDQ370438

Vasily V. Saurin, Georgii V. Kostin

Publication date: 19 September 2013

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021892810000080

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Hamilton's principle (70H25)

Related Items (3)

Modelling of the forced motions of an elastic beam using the method of integrodifferential relations ⋮ General compactly supported solution of an integral equation of the convolution type ⋮ Variational statements of the problem of controlled motions of a system with elastic elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The method of integrodifferential relations for linear elasticity problems
• A variational formulation in fracture mechanics
• Decomposition and suboptimal control in dynamical systems
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• The perturbation method in problems of the dynamics of inhomogeneous elastic rods
• The least-squares meshfree method for solving linear elastic problems
• Generalized variational principles for thermopiezoelectricity
• Modeling of controlled motions of an elastic rod by the method of integro-differential relations
• Variational statement of optimization problems for elastic body motions
• Variational and quasi-variational inequalities in mechanics
• Motion Analysis and Optimization for Beam Structures
• Element‐free Galerkin methods
• Modeling and optimization of elastic system motions by the method of integro-differential relations

This page was built for publication: Variational approaches to solving initial-boundary value problems in the dynamics of linear elastic systems