Application of higher-order tensor theory for formulating enhanced continuum models

DOI10.1007/BF01190020zbMath0966.74007WikidataQ113512919 ScholiaQ113512919MaRDI QIDQ1576535

Ching-Sen Chang, Akke S. J. Suiker

Publication date: 16 August 2001

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

symmetry conditionsenhanced continuum modelhigher-order isotropic tensorsorthogonal invariant polynomial functions

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (20)

Finite gradient elasticity and plasticity: a constitutive mechanical framework ⋮ Micromechanical model for viscoelastic materials undergoing damage ⋮ Enhanced continua and discrete lattices for modelling granular assemblies ⋮ A hierarchy of simplified constitutive models within isotropic strain gradient elasticity ⋮ Comment to ``Hypertractions and hyperstresses convey the same mechanical information`` by Prof. Podio-Guidugli and Prof. Vianello and some related papers on higher gradient theories ⋮ Symmetric tensor fields of bounded deformation ⋮ How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert ⋮ A unified model for the dynamical flexoelectric effect in isotropic dielectric materials ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ On a possibility of reconstruction of Cosserat moduli in particulate materials using long waves ⋮ Algebra of transversely isotropic sixth order tensors and solution to higher order inhomogeneity problems ⋮ Hypertemperature effects in heterogeneous media and thermal flux at small-length scales ⋮ Homogenization of a nonlinear elastic fibre-reinforced composite: a second gradient nonlinear elastic material ⋮ Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media ⋮ Anisotropy in strain gradient elasticity: simplified models with different forms of internal length and moduli tensors ⋮ Elastodynamic transformation cloaking for non-centrosymmetric gradient solids ⋮ Isotropic linear constitutive relations for nonsimple fluids ⋮ Micro-to-macro transition accounting for general imperfect interfaces ⋮ Variational formulation of generalized interfaces for finite deformation elasticity ⋮ Analytical applications and effective properties of a second gradient isotropic elastic material model

Cites Work

• Second-gradient constitutive theory for granular material with random packing structure
• A mathematical theory of the mechanical behavior of continuous media
• Elastic material constants for isotropic granular solids with particle rotation
• A phenomenological theory for strain gradient effects in plasticity
• Dispersion and wave propagation in discrete and continuous models for granular materials
• Micro-structure in linear elasticity
• Gradient-dependent plasticity: Formulation and algorithmic aspects
• Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media
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