On dual configurational forces
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Publication:2432033
DOI10.1007/s10659-005-9047-8zbMath1103.74013OpenAlexW2168217992WikidataQ57945210 ScholiaQ57945210MaRDI QIDQ2432033
Publication date: 25 October 2006
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-005-9047-8
Energy minimization in equilibrium problems in solid mechanics (74G65) Elastic materials (74B99) Variational principles of physics (49S05)
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Cites Work
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- Dual observation laws in elastostatics
- Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
- The thermodynamics of elastic materials with heat conduction and viscosity
- Bui's path-independent integral in finite elasticity
- The nature of configurational forces
- Duality principles in nonconvex systems. Theory, methods and applications
- General analytic solutions and complementary variational principles for large deformation nonsmooth mechanics
- Conservation laws in elasticity. I: General results
- On dual conservation laws in linear elasticity: stress function formalism
- On a class of conservation laws in linearized and finite elastostatics
- A new variational principle for finite elastic displacements
- A note on variational theorems in non-linear elastostatics
- Conformal identities for invariant second-order variational problems depending on a covariant vector field
- Plane deformations of elastic solids with intrinsic boundary elasticity
- Perfect duality theory and complete solutions to a class of global optimization problems*
- Conservation laws of linear elasticity in stress formulations
- The force on an elastic singularity
- On a Variational Theorem for Finite Elastic Deformations
