Results 31 to 40 of about 162,049 (328)
Self-consistent assessments for the effective properties of two-phase composites within strain gradient elasticity [PDF]
Mechanics of materials (Print), 2021 Analytical method for the second-order homogenization of two-phase composites within Mindlin-Toupin strain gradient elasticity theory is proposed. Direct approach and self-consistent approximation are used to reduce the homogenization problem to the ...
Y. Solyaev
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Irreducible decomposition of strain gradient tensor in isotropic strain gradient elasticity [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2016 In isotropic strain gradient elasticity, we decompose the strain gradient tensor into its irreducible pieces under the n‐dimensional orthogonal group . Using the Young tableau method for traceless tensors, four irreducible pieces (), which are canonical, are obtained.
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Thermo-electro-mechanical behaviour of Nano-sized structures [PDF]
MATEC Web of Conferences, 2020 Thermo-electro-mechanical behaviour of the nano-sized structures is analysed by the finite element method (FEM). The mechanical response of the nano-sized structures cannot be modelled with classical continuum theories due to the size effect phenomenon ...
Repka Miroslav, Sator Ladislav
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On the strain gradient bending deformations
Journal of the Mechanical Behavior of Materials, 2013 Bending deformations are reviewed in the context of strain gradient linear elasticity, considering the complete set of strain gradient components. It is well understood that conventional bending deformations depend on the collective uniaxial extension of
Lazopoulos Konstantinos A. +1 more
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An asymptotic strain gradient Reissner-Mindlin plate model [PDF]
, 2013 In this paper we derive a strain gradient plate model from the three-dimensional equations of strain gradient linearized elasticity. The deduction is based on the asymptotic analysis with respect of a small real parameter being the thickness of the ...
Geymonat, Giuseppe +2 more
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Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
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Decay for strain gradient porous elastic waves
Zeitschrift für angewandte Mathematik und Physik, 2023 AbstractWe study the one-dimensional problem for the linear strain gradient porous elasticity. Our aim is to analyze the behavior of the solutions with respect to the time variable when a dissipative structural mechanism is introduced in the system. We consider five different scenarios: hyperviscosity and viscosity for the displacement component and ...
Baldonedo, Jacobo +3 more
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Uniform materials and the multiplicative decomposition of the deformation gradient in finite elasto-plasticity [PDF]
, 2008 In this work we analyze the relation between the multiplicative decomposition $\mathbf F=\mathbf F^{e}\mathbf F^{p}$ of the deformation gradient as a product of the elastic and plastic factors and the theory of uniform materials.
Bilby B. +6 more
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A new multi-scale dispersive gradient elasticity modelwith micro-inertia: Formulation and C0-finiteelement implementation [PDF]
, 2016 Motivated by nano-scale experimental evidence on the dispersion characteristics of materials with a lattice structure, a new multi-scale gradient elasticity model is developed.
Aifantis +42 more
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, 2021 Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is investigated by employing somewhat non-standard finite element methods.
J. Torabi, J. Niiranen, R. Ansari
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