The Geometrical Language of Continuum Mechanics
From MaRDI portal
Publication:5410745
DOI10.1017/CBO9780511762673zbMath1286.53004OpenAlexW4291269765MaRDI QIDQ5410745
Publication date: 17 April 2014
Full work available at URL: https://doi.org/10.1017/cbo9780511762673
Applications of differential geometry to physics (53Z05) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids, Geometric characterization of continuously defective elastic crystals, On tangent geometry and generalised continuum with defects, The Truesdell rate in continuum mechanics, Gradient plasticity in isotropic solids, Characteristic foliations of material evolution: from remodeling to aging, The linear elasticity tensor of incompressible materials, Material description of fluxes in terms of differential forms, A poroplastic model of structural reorganisation in porous media of biomechanical interest, Infinitesimally affine deformations of a hypersurface, Some remarks on metric and deformation, A three-dimensional Airy stress function, A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor, Disclinations and GND tensor effects on the multislip flow rule in crystal plasticity, Non-local elasto-viscoplastic models with dislocations in finite elasto-plasticity. Part I: Constitutive framework, The role of the symmetry group in the non-uniqueness of a uniform reference. Case study: An isotropic solid body, A Primer on Plasticity, Eshelby's inclusion problem in large deformations, A Kinematics of Defects in Solid Crystals, On the Homogeneity of Non-uniform Material Bodies, Notes on Metric Independent Analysis of Classical Fields, 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, The Frank tensor as a boundary condition in intrinsic linearized elasticity, Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell, Autoparallel curves and Riemannian geodesics for materially uniform but inhomogeneous bodies, Geometric aspects of singular dislocations
