Differential complexes in continuum mechanics

DOI10.1007/s00205-014-0806-1zbMath1310.35224arXiv1307.1809OpenAlexW1988399781MaRDI QIDQ2260642

Arzhang Angoshtari, Arash Yavari

Publication date: 11 March 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1809

zbMATH Keywords

de Rham complexkinetics of motion

Mathematics Subject Classification ID

Shells (74K25) de Rham theory in global analysis (58A12) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (18)

A mixed variational principle in nonlinear elasticity using Cartan's moving frames and implementation with finite element exterior calculus ⋮ Compatible-strain mixed finite element methods for incompressible nonlinear elasticity ⋮ A geometric theory of nonlinear morphoelastic shells ⋮ Compatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticity ⋮ Bounded Poincaré operators for twisted and BGG complexes ⋮ A compatible mixed finite element method for large deformation analysis of two‐dimensional compressible solids in spatial configuration ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation ⋮ On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions ⋮ A discrete elasticity complex on three-dimensional Alfeld splits ⋮ Applications of Algebraic Topology in Elasticity ⋮ Variational-based higher-order accurate energy-momentum schemes for thermo-viscoelastic fiber-reinforced continua ⋮ Hilbert complexes of nonlinear elasticity ⋮ The weak compatibility equations of nonlinear elasticity and the insufficiency of the Hadamard jump condition for non-simply connected bodies ⋮ Transformation cloaking in elastic plates ⋮ De Rham complexes for weak Galerkin finite element spaces ⋮ Poincaré path integrals for elasticity ⋮ Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity ⋮ Complexes from complexes

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