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In this paper, explicit expressions are obtained for the fundamental elasticity matrix N, the generalized fundamental elasticity matrix N, the material eigenvector matrices A and B and Barnett Lothe tensors L, S and H.
A generalized Green's function is described by the generalized fundamental system.
A generalized Green's function and a generalized fundamental system, defined by the Moore-Penrose inverse, always exist and are unique.
We formulate the basic conclusions of this paper as follows: A generalized Green's function and a generalized fundamental system, defined by the Moore-Penrose inverse, always exist and are unique.
Each function of a generalized fundamental system is the unique minimum norm least squares solution of the same problem where the unique exact solution is the corresponding function of the biorthogonal fundamental system if this system exists.
In this case, ordinary and generalized Green's functions are coincident (see (11) and (25)), and the biorthogonal fundamental system and the generalized fundamental system, defined by (12 - 13 12 - 136)-(27), respectively, and coincident as well.
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Herein, we reported a generalized and fundamental approach to molecular self-assembly synthesis of ZnO hollow spheres by rationally employing spherical reverse micelles.
These phenotypes indicate generalized and fundamental endocytic dysfunction characteristic of many lysosomal storage disorders [ 31].
A detailed derivation of a measurement method for the generalized theoretical fundamentals of multipath ATT flow is then presented.
The static BEM is a component of the time-harmonic BEM, which is formulated following the physical interpretation of Somigliana's identity in terms of the fundamental generalized line force and dislocation solutions obtained through the Stroh Lekhnitskii (SL) formalism.
We will derive the fundamental generalized displacement solution, using the Radon transform, and present the direct formulation of the time-harmonic boundary element method (BEM) for the two-dimensional general piezoelectric solids.
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