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On gradient dependent diffusivity
Chemical Engineering Science, 1973Abstract It is a known fact that surface diffusion is dependent on temperature and concentration. Data on adsorption of water in microporous silica gel indicate that an additional quantity is influencing diffusivity in such a system. These observations can be explained by a surface diffusivity depending on concentration gradient.
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On the gradient-dependent theory of plasticity and shear banding [PDF]
Acta Mechanica, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elias C. Aifantis, Hussein M. Zbib
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Gradient-dependent heat rectification in thermoelastic solids
Journal of Thermal Stresses, 2021We study heat rectification by means of application of an inhomogeneous distribution of a tensile mechanical stress in: (a) graded thermoelastic systems with constant cross section; (b) non-graded ...
David Jou +3 more
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Variational principles for softening gradient dependent plasticity
International Journal of Solids and Structures, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M.L. Peterson, Z.M. Wang
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On the stochastic interpretation of gradient-dependent constitutive equations
European Journal of Mechanics - A/Solids, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elias C. Aifantis +2 more
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Gradient‐dependent plasticity: Formulation and algorithmic aspects
International Journal for Numerical Methods in Engineering, 1992AbstractA plasticity theory is proposed in which the yield strength not only depends on an equivalent plastic strain measure (hardening parameter), but also on the Laplacian thereof. The consistency condition now results in a differential equation instead of an algebraic equation as in conventional plasticity.
René de Borst, Hans Muhlhaus
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A thermodynamics-based formulation of gradient-dependent plasticity
European Journal of Mechanics - A/Solids, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guido Borino, Castrenze Polizzotto
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Instability of gradient dependent elasto-viscoplasticity for clay
International Journal for Numerical and Analytical Methods in Geomechanics, 1999Summary: A gradient-dependent viscoplastic constitutive model for water saturated clay is proposed to describe the strain localization phenomena and pattern formation during deformation. Second- and fourth-order gradients of volumetric viscoplastic strain are introduced into the constitutive equations to account for the non-local effects due to the ...
Atsushi Yashima +4 more
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Time-dependent gradient perturbations of fractional Laplacian
Journal of Evolution Equations, 2010We construct a fundamental solution of the equation {\partial_t - \Delta^{\alpha/2} - b(\cdot, \cdot) \cdot\nabla_{x} = 0} for TeX{\alpha \in (1, 2)} and b satisfying a certain integral space-time condition. We also show it has α-stable upper and lower bounds.
Tomasz Jakubowski +2 more
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Positive solutions of polyharmonic equations with strong dependence on the gradient
Complex Variables and Elliptic Equations, 2007We study existence and nonexistence of positive, spherically symmetric solutions of polyharmonic boundary value problems, with strong dependence on the gradient on the right-hand side. The existence proof is constructive, with solutions possessing explicit integral representation.
J. Kraljević +5 more
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