Differential complexes in continuum mechanics
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Publication:2260642
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
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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