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First-Strain Gradient Theory of Thermoviscoelasticity

Journal of Thermal Stresses, 2015
This paper is concerned with a linear theory of non-simple thermoviscoelastic solids. First, we derive a reciprocal theorem in the dynamic theory. Then, a variational theorem of Gurtin type is established. A uniqueness result for the mixed problem is also presented.
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Theory of orientation gradients in plastically strained crystals

Acta Materialia, 2002
We suggest a theory of in-grain orientation gradients in plastically strained metals. It is an approach to explain why initially uniformly oriented crystals can—under gradient-free external loadings—build up in-grain orientation gradients during plastic deformation and how this phenomenon depends on intrinsic factors (crystal orientation) and extrinsic
Raabe, D.   +3 more
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On a strain gradient theory of porous thermoelastic solids

Journal of Thermal Stresses, 2021
The interest in the gradient theory of elasticity is stimulated by the fact that this theory is adequate to investigate important problems related to size effects and nanotechnology.
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A phenomenological theory for strain gradient effects in plasticity

Journal of the Mechanics and Physics of Solids, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fleck, N. A., Hutchinson, J. W.
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A theory of thermopiezoelectricity with strain gradient and electric field gradient effects

European Journal of Mechanics - A/Solids, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elasticity with Gradient-Disarrangements: A Multiscale Perspective for Strain-Gradient Theories of Elasticity and of Plasticity

Journal of Elasticity, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strain gradient plasticity theory applied to machining

AIP Conference Proceedings, 2011
Machining is the most common manufacturing process. A good behaviour law is necessary in the simulation of machining processes (analytical and finite element modeling). Usually, commonly used behaviour laws such as Jonhson‐Cook can bring unsatisfactory results especially for high strain and large deformation processes.
Raphaël Royer   +4 more
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On lower order strain gradient plasticity theories

European Journal of Mechanics - A/Solids, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niordson, Christian F.   +1 more
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Strain-gradient plasticity theory in large strain

2021
T. Matsushima, R. Chambon, D. Caillerie
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An application of strain-gradient theory to nonhomogeneous materials

Fibre Science and Technology, 1968
Abstract The nonhomogeneity of each “elementary cell” of a continuously reinforced, elastic material is described by allowing the strain energy to depend also on gradients of strain. This theory is applied to axial extension and to Lame-type problems.
openaire   +1 more source

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