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An Integral-Equation Formulation for Anisotropic Elastostatics

Journal of Applied Mechanics, 1996
In this paper a conceptually simple integral-equation formulation for homogeneous anisotropic linear elastostatics is presented. The basic idea of the approach proposed here is to rewrite the system of differential equations of the anisotropic problem to enable the use of the isotropic fundamental solution.
Perez, M. M., Wrobel, L. C.
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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

Springer Monographs in Mathematics, 2021
Iwona Chlebicka   +3 more
semanticscholar   +1 more source

Image recovery using the anisotropic diffusion equation

IEEE Transactions on Image Processing, 1996
A new approach for image recovery using the anisotropic diffusion equation is developed which is based on the first derivative of the signal in time embedded in family of images with different scales. The diffusion coefficient is determined as a function of the gradient of the signal convolved with a symmetric exponential filter.
F, Torkamani-Azar, K E, Tait
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Constitutive equations for anisotropic wear

International Journal of Engineering Science, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence and uniqueness for nonlinear anisotropic elliptic equations

, 2013
We study the existence and uniqueness for weak solutions to some classes of anisotropic elliptic Dirichlet problems with data belonging to the natural dual space.
R. D. Nardo, F. Feo
semanticscholar   +1 more source

Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory

Thin-walled structures, 2018
In this paper, a variational approach for the wave dispersion in anisotropic doubly-curved nanoshells is presented. To study the doubly-curved nanoshell as a continuum model, a new size-dependent higher-order shear deformation theory is introduced.
B. Karami, M. Janghorban, A. Tounsi
semanticscholar   +1 more source

Maxwell's equations in anisotropic space

Physics Letters A, 1979
Abstract In terms of the covariance of equations under a generalized galilean transformation, a general expression of Maxwell's equations in anistropic space is given here.
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Reformation of the equations of anisotropic poroelasticity

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1991
The constitutive equations of linear poroelasticity presented by Biot (1955) and Biot and Willis (1957) extended the description of rock behavior into the realm of saturated porous rocks. For isotropic material behavior, Rice and Cleary (1976) gave a formulation which involved material constants whose physical interpretation was particularly simple and
Thompson, M., Willis, J. R.
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Bubbling solutions to an anisotropic Hénon equation

2015
In this paper we consider the problem $$\displaystyle{ \qquad \left \{\begin{array}{ll} -\mathrm{div}(a(x)\nabla u) = c_{\alpha }a(x)\vert x -\xi \vert ^{\alpha }u^{p_{\alpha }\pm \varepsilon }&\mbox{ in }\varOmega, \\ u > 0 &\mbox{ in }\varOmega, \\ u = 0 &\mbox{ on }\partial \varOmega,\end{array} \right.
Faya, Jorge   +2 more
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Formulation of Anisotropic Constitutive Equations

1987
This chapter is concerned with the formulation of constitutive expressions of the form (1) where dij = (vi,j + vj,i)/2 are the cartesian components of the so called “rate-of-deformation tensor” . Other common names are the “rate-of-strain” or “strain-rate-tensor”. Note that dij is linear in the velocity components vi, and that this linearity
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