Variant of strain gradient elasticity with simplified formulation of traction boundary value problems
DOI10.1002/zamm.202300329OpenAlexW4385347334MaRDI QIDQ6189123
Publication date: 8 February 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202300329
variational methodstrong ellipticity conditionpure bending probleminplane crack problemisotropic Mindlin-Toupin gradient theoryreal-value length scale parameter
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
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- Asymptotic fracture modes in strain-gradient elasticity: size effects and characteristic lengths for isotropic materials
- Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
- Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity
- Plane asymptotic crack-tip solutions in gradient elasticity
- Experiments and theory in strain gradient elasticity.
- Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity
- Revisiting bending theories of elastic gradient beams
- Inclusion problem in second gradient elasticity
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model
- A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
- Dilatation gradient elasticity theory
- Ellipticity in couple-stress elasticity
- On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity
- Pure bending of a piezoelectric layer in second gradient electroelasticity theory
- Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- The thermodynamics of gradient elastoplasticity
- Generalized Hooke's law for isotropic second gradient materials
- Symmetry conditions in strain gradient elasticity
- Cauchy tetrahedron argument applied to higher contact interactions
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