Results 211 to 220 of about 106,461 (266)
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Uniqueness for Inverse Elastic Medium Problems
SIAM Journal on Mathematical Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan Antonio Barceló 0002 +4 more
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Resonance scattering of elastic waves by an elastic sphere in an elastic medium
The Journal of the Acoustical Society of America, 1984We study elastic wave scattering by an elastic sphere within an elastic matrix under the light of the Resonance Scattering Theory (RST). We consider shear (s) and compressional (p) plane wave incidence on a sphere of radius a, and the four cases of elastic wave scattering that they engender (i.e., pp, ps, sp, and ss).
D. Brill, G. Gaunaurd
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Scattering on a Small Inhomogeneity in an Elastic Medium
Journal of Mathematical Sciences, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kirpichnikova, N. Ya. +2 more
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Solitons in a Nonlinear Elastic Medium
Materials Science Forum, 1991The influence of nonlinearity on shear horizontal elastic (bulk and surface) waves in crystals is considered on the basis of a nonlinear equation derived from a microscopic scalar model. The continuum limit is compared with the equation obtained in the framework of nonlinear elasticity theory.
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Inverse Problems at the Boundary for an Elastic Medium
SIAM Journal on Mathematical Analysis, 1995The authors consider the general stationary linear elasticity system \[ \text{div}(C\varepsilon(u))= 0\quad\text{in} \quad \Omega,\quad u= g\quad\text{on} \quad \partial\Omega, \] where \(C= C(x)\in C^\infty(\Omega)\) is the elastic tensor, \(\varepsilon(u)= (\nabla u+ \nabla u^T)/2\) is the linear strain, and \(\Omega\) is a bounded domain in ...
Nakamura, Gen, Uhlmann, Gunther
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Fourdimensional elastic medium
Acta Mechanica, 1974A theory of the fourdimensional elastic medium, similar to the theory of the threedimensional one, is developed. As an illustration, the wave velocities of the dilatational and rotational waves in the Minkowski space of special relativity are determined.
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On the theory of elasticity of a nonhomoqeneous medium
Journal of Applied Mathematics and Mechanics, 1964Abstract The equations of equilibrium of an isotropic nonhomogeneous medium in which the elastic moduli are nonconstant, differentiable functions of position and Poisson's ratio v has a constant value, have been studied by making use of the methods of separation of variables and integral transforms. The equation for the stress functions in isothermal
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Point Defect in a Nonlocal Elastic Medium
Journal of Mathematical Sciences, 2001A nonlinear elastic body is studied in the framework of the model proposed by \textit{A.C.~Eringen} [Int. J. Engin. Sci. 10, No.~5, 425--435 (1972; Zbl 0241.73005)]. Besides the nonlinear Hooke law is replaced by the integral correlation \[ t(x) = \int\limits_V \alpha(| x'-x| ,\tau)\sigma(x')\,dv(x'), \] where \(\sigma(\cdot)\) is a linear strain ...
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Layer Stripping for a Transversely Isotropic Elastic Medium
SIAM Journal on Applied Mathematics, 1999In this paper an inverse boundary value problem of 3D elasticity is considered and a layer stripping algorithm is developed to solve it. Let \(\Omega\subset\mathbb{R}^3\) be a bounded domain with a smooth boundary \(\partial\Omega\). \(\Omega\) is considered as a linear inhomogeneous locally transversely isotropic elastic body.
Nakamura, Gen +2 more
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Somigliana dislocations in an anisotropic elastic medium
International Journal of Engineering Science, 1981Abstract The present paper concerns a Somigliana dislocation that produces a state of generalized plane strain in an infinite anisotropic elastic medium with a circular cylindrical hole. The elastic state is determined when either the displacements or the tractions are prescribed on the boundary of the hole, while the stresses and the elastic ...
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