Variational formulation of generalized interfaces for finite deformation elasticity
From MaRDI portal
Publication:5237885
DOI10.1177/1081286517719938zbMath1425.74199OpenAlexW2741017612MaRDI QIDQ5237885
Publication date: 25 October 2019
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11693/36442
Related Items (6)
Fundamentals of electro-mechanically coupled cohesive zone formulations for electrical conductors ⋮ Nonlinear dynamics of uniformly loaded Elastica: Experimental and numerical evidence of motion around curled stable equilibrium configurations ⋮ A note on traction continuity across an interface in a geometrically non-linear framework ⋮ Modeling and simulating the effects of a general imperfect interface in fibrous piezoelectric composites ⋮ Transverse shear stress within surface layer and its effects ⋮ On effective behavior of microstructures embedding general interfaces with damage
Cites Work
- Unnamed Item
- Unnamed Item
- Interfacial discontinuity relations for coupled multifield phenomena and their application to the modeling of thin interphases as imperfect interfaces
- A thermodynamically and variationally consistent class of damage-type cohesive models
- Curvature-dependent surface energy and implications for nanostructures
- The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. I: The self-consistent scheme in matrix-based composites
- The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. II: The generalized self-consistent scheme in matrix-based composites
- On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface
- Mechanics of corrugated surfaces
- Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua
- Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks
- Interfacial models in viscoplastic composites materials
- Multiscale cohesive failure modeling of heterogeneous adhesives
- A curvature-dependent interfacial energy-based interface stress theory and its applications to nano-structured materials. I. General theory
- Multiscale methods for composites: A review
- Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials
- From coherent to incoherent mismatched interfaces: a generalized continuum formulation of surface stresses
- On boundary potential energies in deformational and configurational mechanics
- Multi-scale computational homogenization: trends and challenges
- Interfacial energy and dissipation in martensitic phase transformations. II: Size effects in pseudoelasticity
- Interfacial energy and dissipation in martensitic phase transformations. I: Theory
- Thermomechanics of the interface between a body and its environment
- Interfacial excess energy, excess stress and excess strain in elastic solids: Planar interfaces
- The method of virtual power in continuum mechanics. Application to media presenting singular surfaces and interfaces
- Elastic materials with couple-stresses
- Bergman-Vekua theory in differential form
- On the overall moduli of non-linear elastic composite materials
- A continuum theory of elastic material surfaces
- Introduction to vectors and tensors. Vol. 1: Linear and multilinear algebra. Vol. 2: Vector and tensor analysis
- Thermodynamics of an interface
- Numerical simulations of fast crack growth in brittle solids
- Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues.
- Application of higher-order tensor theory for formulating enhanced continuum models
- Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces
- A primer in elasticity
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- On the shell theory on the nanoscale with surface stresses
- Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains
- Thin interphase/imperfect interface in elasticity with application to coated fiber composites.
- Kinetics of phase boundaries with edges and junctions
- Numerical homogenization of cracking processes in thin fibre-epoxy layers
- Phase field approach with anisotropic interface energy and interface stresses: large strain formulation
- Deformation and relaxation of an incompressible viscoelastic body with surface viscoelasticity
- A two-dimensional gradient-elasticity theory for woven fabrics
- An introduction to continuum mechanics
- Micro-to-macro transition accounting for general imperfect interfaces
- Geometrical foundations of continuum mechanics. An application to first- and second-order elasticity and elasto-plasticity
- A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media
- Initiation of cracks with cohesive force models: a variational approach
- Mind the gap: the shape of the free surface of a rubber-like material in proximity to a rigid contactor
- A theory of hyperelasticity of multi-phase media with surface/interface energy effect
- On material interfaces in thermomechanical solids
- Elastic properties of reinforced solids: Some theoretical principles
- Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues
- Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
- A Continuum Model for Void Nucleation by Inclusion Debonding
- Coupled multi-scale cohesive modeling of failure in heterogeneous adhesives
- Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids
- The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks
- Theory and numerics for finite deformation fracture modelling using strong discontinuities
- Elements of Continuum Mechanics and Thermodynamics
- A THERMODYNAMICAL THEORY OF ELASTIC MATERIAL INTERFACES
- Elastic surface—substrate interactions
- Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis
- ON THE MODELLING OF THIN INTERFACE LAYERS IN ELASTIC AND ACOUSTIC SCATTERING PROBLEMS
- Highly-conductive energetic coherent interfaces subject to in-plane degradation
- Models of thin interphases with variable moduli in plane-strain elasticity
- The effect of a curvature-dependent surface tension on the singularities at the tips of a straight interface crack
- On constitutive macro-variables for heterogeneous solids at finite strain
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
- 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
- Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body
This page was built for publication: Variational formulation of generalized interfaces for finite deformation elasticity