The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool

DOI10.1007/s00161-011-0196-7zbMath1343.74003OpenAlexW1565791448WikidataQ125865452 ScholiaQ125865452MaRDI QIDQ304117

Gérard A. Maugin

Publication date: 23 August 2016

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-011-0196-7

zbMATH Keywords

microstructurevariational formulationstructuresthermomechanicsdiscontinuitiesmixturesmechanics of deformable solidsvirtual power

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Theory of constitutive functions in solid mechanics (74A20)

Related Items (12)

A generalized continuum theory with internal corner and surface contact interactions ⋮ A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model ⋮ Principle of virtual power applied to deformable semiconductors with strain, polarization, and magnetization gradients ⋮ A principle of virtual power-based beam model reveals discontinuities in elastic support as potential sources of stress peaks in tramway rails ⋮ Some remarks on generalized continuum mechanics ⋮ Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids ⋮ A higher-order nonlocal elasticity continuum model for deterministic and stochastic particle-based materials ⋮ On the dependence of standard and gradient elastic material constants on a field of defects ⋮ Rigorous amendment of Vlasov's theory for thin elastic plates on elastic Winkler foundations, based on the principle of virtual power ⋮ At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola ⋮ A dynamic beam model for the motility of \textit{Listeria monocytogenes} ⋮ Finite stretching and shearing of an internally balanced elastic solid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the thermomechanics of continuous media with diffusion and/or weak nonlocality
• On edge interactions and surface tension
• The method of virtual power in continuum mechanics. Application to media presenting singular surfaces and interfaces
• The method of virtual power in continuum mechanics: Application to coupled fields
• A relativistic version of the principle of virtual power
• An efficient standard plate theory
• Local-equilibrium formalism applied to mechanics of solids
• A justification of a nonlinear model in plate theory
• Deformable semiconductors with interfaces: Basic continuum equations
• An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures
• On first strain-gradient theories in linear elasticity
• A note on Cauchy's stress theorem
• Effects of couple-stresses in linear elasticity
• Static grounds for inequalities in finite strain of elastic materials
• Virtual power and thermodynamics for electromagnetic continua with interfaces
• A continuum theory of deformable ferrimagnetic bodies. I. Field equations
• Generalized Continuum Mechanics: What Do We Mean by That?
• Microcontinuum Field Theories
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure

This page was built for publication: The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool