On nonlinear dilatational strain gradient elasticity
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Publication:6547461
DOI10.1007/S00161-021-00993-6zbMATH Open1537.74025MaRDI QIDQ6547461
Antonio Cazzani, Francesco Dell'Isola, V. A. Eremeyev
Publication date: 30 May 2024
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Nonlinear elasticity (74B20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)
Cites Work
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- Non-classical continuum mechanics. A dictionary
- Continuum mechanics through the twentieth century. A concise historical perspective
- A review on 2D models for the description of pantographic fabrics
- The method of virtual power in the mechanics of continuous media. I. Second-gradient theory
- An appreciation and discussion of Paul Germain's ``The method of virtual power in the mechanics of continuous media. I.: second-gradient theory
- Continuum theory of the mechanics of fibre-reinforced composites. (Lectures given at the International Centre for Mechanical Sciences in Udine, Italy, July 1981)
- Non-linear bell-shaped and kink-shaped strain waves in microstructured solids
- Linear elastic materials with voids
- Elastic materials with couple-stresses
- A nonlinear theory of elastic materials with voids
- The symmetry group of second-grade materials
- Symmetry considerations for materials of second grade
- A phenomenological theory for strain gradient effects in plasticity
- A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
- Moving contact lines in the Cahn-Hilliard theory
- Sur la forme que prennent les équations du mouvement des fluides si l'on tient compte des forces capillaires causées par des variations de densité considérables mais continues et sur la théorie de la capillarité dans l'hypothèse d'une variation continue de la densité.
- A history of the theory of elasticity and of the strength of materials from Galilei to the present time. Edited by K. Pearson. Vol. I. Galilei to St. Venant. 1639-1850.
- A simple non-linear model for internal friction in modified concrete
- Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices
- Finite third-order gradient elasticity and thermoelasticity
- A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
- Three-dimensional contact of transversely isotropic transversely homogeneous cartilage layers: a closed-form solution
- Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams
- Steady-state propagation of a mode III crack in couple stress elastic materials
- Linear pantographic sheets: existence and uniqueness of weak solutions
- Strain gradient and generalized continua obtained by homogenizing frame lattices
- Form II of Mindlin's second strain gradient theory of elasticity with a simplification: for materials and structures from nano- to macro-scales
- Couple stress based strain gradient theory for elasticity
- Flexoelectricity and apparent piezoelectricity of a pantographic micro-bar
- On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity
- On instabilities and post-buckling of piezomagnetic and flexomagnetic nanostructures
- A variational approach of homogenization of piezoelectric composites towards piezoelectric and flexoelectric effective media
- A two-dimensional gradient-elasticity theory for woven fabrics
- Equilibrium of a second-gradient fluid and an elastic solid with surface stresses
- Second gradient poromechanics
- Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field
- A multiphysics stimulus for continuum mechanics bone remodeling
- Anti-plane surface waves in media with surface structure: discrete vs. continuum model
- Wave transmission across surface interfaces in lattice structures
- Theories of elasticity with couple-stress
- Injectivity and self-contact in second-gradient nonlinear elasticity
- On first strain-gradient theories in linear elasticity
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- Theory of representations for tensor functions. -- A unified invariant approach to constitutive equations
- Material symmetry group and constitutive equations of micropolar anisotropic elastic solids
- Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
- Nonlocal Continuum Field Theories
- Generalized Hooke's law for isotropic second gradient materials
- Injective weak solutions in second-gradient nonlinear elasticity
- A Brief on Tensor Analysis
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Energy approach to brittle fracture in strain-gradient modelling
- Applications of Tensor Analysis in Continuum Mechanics
- Microcontinuum Field Theories
- Analysis of dynamic failure of the discrete chain structure with non‐local interactions
- Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?
- The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study
- Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme)
- Surface and interfacial anti-plane waves in micropolar solids with surface energy
- Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution
- Strongly anisotropic surface elasticity and antiplane surface waves
- Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses
- Influence of bone microstructure distribution on developed mechanical energy for bone remodeling using a statistical reconstruction method
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
- On Dynamic Boundary Conditions Within the Linear Steigmann-Ogden Model of Surface Elasticity and Strain Gradient Elasticity
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Mechanical metamaterials: a state of the art
- Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
- Global Continuation in Second-Gradient Nonlinear Elasticity
- 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
- A reformulation of strain gradient plasticity.
- On weak solutions of boundary value problems within the surface elasticity of Nth order
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