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On the Reynolds number dependence of velocity-gradient structure and dynamics
Journal of Fluid Mechanics, 2018We seek to examine the changes in velocity-gradient structure (local streamline topology) and related dynamics as a function of Reynolds number ( $Re_{\unicode[STIX]{x1D706}}$ ). The analysis factorizes the velocity gradient ( $\unicode[STIX]{x1D608}_{ij}
Rishita Das, S. Girimaji
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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.
De Borst, René, Mühlhaus, Hans-Bernd
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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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Generalized Gradient-Dependent Plasticy Theory
Advanced Materials Research, 2011Based on the Generalized Plastic Mechanics (GPM) and strain gradient-dependence of yield surfaces, the differential expressions of the volumetric and shear plastic strains are constructed, then the Generalized Gradient-dependent Plastic Mechanics (GGPM) is established to describe the strain localization characteristics and the basic mechanics ...
Bing Zhao +3 more
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Dependence of the Depolarization Tensor on the Displacement Gradient
Canadian Journal of Physics, 1971Expressions are given for the first- and second-order derivatives of the depolarization tensor with respect to the displacement gradient. The results are applied to the special case of the sphere.
A. Redlack, J. Grindlay
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A GENERALIZED VARIABLE FORMULATION FOR GRADIENT DEPENDENT SOFTENING PLASTICITY
International Journal for Numerical Methods in Engineering, 1996Summary: A mesh-independent finite element method for elastoplastic problems with softening is proposed. The regularization of the boundary value problem is achieved introducing in the yield function the second order gradient of the plastic multiplier.
COMI, CLAUDIA, PEREGO, UMBERTO
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Learning long-term dependencies with gradient descent is difficult
IEEE Transactions on Neural Networks, 1994Recurrent neural networks can be used to map input sequences to output sequences, such as for recognition, production or prediction problems. However, practical difficulties have been reported in training recurrent neural networks to perform tasks in which the temporal contingencies present in the input/output sequences span long intervals. We show why
BENGIO Y, SIMARD P, FRASCONI, PAOLO
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Thermal stresses that depend on temperature gradients
Zeitschrift für angewandte Mathematik und Physik, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Remarks on Semilinear Elliptic Problems with Dependence on the Gradient
Bulletin of the Brazilian Mathematical Society, New SerieszbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. C. M. Rezende +2 more
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Conjugate Gradient Methods less Dependent on Conjugacy
SIAM Review, 1986This paper reviews some recent conjugate gradient (CG) methods and outlines some promising directions for further developments. Two charts summarize the methods and indicate the main line of development, one for the methods utilizing a variable metric and limited memory and the other for methods based upon successive affine reduction.
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