Multi-field dual-mixed variational principles using non-symmetric stress field in linear elastodynamics
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Publication:905892
DOI10.1007/s10659-015-9535-4zbMath1332.49046OpenAlexW808656192MaRDI QIDQ905892
Publication date: 28 January 2016
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-015-9535-4
elastodynamicscomplementary energiesmulti-field dual-mixed variational principlesnon-symmetric stress field
Classical linear elasticity (74B05) Linear elasticity with initial stresses (74B10) Variational methods applied to PDEs (35A15) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05)
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Cites Work
- Unnamed Item
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- Derivation of a dual-mixed \(hp\)-finite element model for axisymmetrically loaded cylindrical shells
- Reciprocal and variational principles in linear thermoelasticity without energy dissipation
- Comparison of dual-mixed \(h\)- and \(p\)-version finite element models for axisymmetric problems of cylindrical shells
- Coupled variational principles of piezoelectricity
- Fluid-fluid and -solid interaction problems: variational principles revisited
- Reciprocal and variational principles in micropolar thermoelasticity of type II
- Generalized variational principles for micromorphic magnetoelectroelastodynamics
- Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type
- Some variational principles in elastic dielectric and elastic magnetic materials
- Variational principles of continuum mechanics. I: Fundamentals
- Variational principle of fractional order generalized thermoelasticity
- Variational principles for generalized dynamical theory of thermopiezoelectricity
- Variational and reciprocal principles in micropolar thermoelasticity
- hp-version finite elements for the space-time domain
- Hamilton's principle and the calculus of variations
- Mixed finite element formulations in the time domain for solution of dynamic problems
- Basic features of the time finite element approach for dynamics
- On the stress functions in elastodynamics
- On mixed variational formulations of linear elasticity using nonsymmetric stresses and displacements
- Mixed variational principles in space and time for elastodynamics analysis
- Space-time finite element methods for elastodynamics: Formulations and error estimates
- Generalized variational principles for thermopiezoelectricity
- Variational methods and complementary formulations in dynamics
- Hybrid time-finite-elements with time-step-adaption by discontinuity control
- Some variational formulations for continuum nonlinear dynamics
- Dynamical theoretical model and variational principles for coupled temperature-diffusion-mechanics
- A generalized variational principle in micromorphic thermoelasticity
- Remarks on variational principles in elastodynamics
- Reissner's variational principle and elastodynamics
- On complementary variational principles in linear vibrations
- A new variational principle for finite elastic displacements
- Mixed variational principles in nonlinear electroelasticity
- Formulation and analysis of variational methods for time integration of linear elastodynamics
- Variational approaches for dynamics and time-finite-elements: Numerical studies
- Dual-mixed hp finite element model for elastic cylindrical shells
- Hybrid-mixed discretization of elasto-dynamic contact problems using consistent singular mass matrices
- Complementary variational principles in elastodynamics
- Time Finite Element Discretization of Hamilton's Law of Varying Action
- Dynamic response of mechanical systems by a weak Hamiltonian formulation
- Hamilton's principle, Hamilton's law - 6 to the n power correct formulations
- When is Hamilton's Principle an Extremum Principle
- Application of Hamilton's law of varying action
- A new three-field mixed variational principle for the analysis of linear elastic problems
- On the variational method in the direct integration of the transient structural response
- Some Remarks on Hamilton’s Principle
- Finite-element analysis of time-dependent phenomena.
- On a Variational Theorem in Elasticity
- Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers
- Variational principles in micromorphic thermoelasticity.
