Deformation-induced coupling of the generalized external actions in third-gradient materials
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Publication:2082162
DOI10.1007/s00033-022-01855-0zbMath1500.74008OpenAlexW4297517755MaRDI QIDQ2082162
Publication date: 4 October 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01855-0
Lagrangian formulationprinciple of virtual workEulerian formulationdivergence theoremnonstandard boundary conditionedge projectororiented boundarysurface projector
Related Items (1)
The crust shell and the edge beams of third-gradient continua in current and referential description
Cites Work
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- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- A second gradient formulation for a 2D fabric sheet with inextensible fibres
- Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
- Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory
- The method of virtual power in the mechanics of continuous media. I. Second-gradient theory
- On edge interactions and surface tension
- Edge contact forces and quasi-balanced power
- Isogeometric analysis of first and second strain gradient elasticity
- Form II of Mindlin's second strain gradient theory of elasticity with a simplification: for materials and structures from nano- to macro-scales
- How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
- On boundary layers observed in some 1D second-gradient theories
- On the divergence theorem for submanifolds of Euclidean vector spaces within the theory of second-gradient continua
- On the wave dispersion in microstructured solids
- On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity
- Stochastic calibration of local constitutive models through measurements at the macroscale in heterogeneous media
- Multipolar continuum mechanics
- Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials
- Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?
- Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables
- Local material symmetry group for first- and second-order strain gradient fluids
- Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
- 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
- Cauchy tetrahedron argument applied to higher contact interactions
- Micromechanics-based elasto-plastic-damage energy formulation for strain gradient solids with granular microstructure
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