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Quarterly of Applied Mathematics

The contact problem of elastic bodies, each consisting of a finite layer of uniform thickness rigidly adhering to a half-plane, is investigated on the basis of the two-dimensional theory of elasticity. The materials of the layer and the half-plane in the contact body are isotropic and homogeneous, yet each of them may have distinct elastic properties. The mixed boundary value problem is reduced...

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Quarterly of Applied Mathematics

Complex variable techniques are employed to characterize two-dimensional solutions u{x, y) of Laplace's equation which satisfy the boundary condition [fi(d2u/ dy2) + (du/dx)]x„0 = 0, where /? is referred to as the surface-stiffness parameter. Simple closed-form singular solutions are derived which satisfy this boundary condition and represent source and dislocation singularities. The former is ...

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Quarterly of Applied Mathematics

The paper is concerned with the existence of a classical solution of a mixed third boundary value problem on a sphere. The existence is proved by reducing the problem to a Fredholm integral equation that has a unique solution. Various consequences of the existence theorem are mentioned and some numerical results are given.

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Quarterly Bulletin

Subscription orders for Quarterly Bulletins and Annual report and requests for specimen copies should be sent to: Kluwer Academic Publishers po Box 17 — 3300 ah Dordrecht — The Netherlands Edition: 1.100 Publication and multiplication for educational and non-commercial purposes is allowed, with acknowledgement. This publication contains a translation of the Dutch-language Quarterly Bulletin of ...

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Quarterly of Applied Mathematics

2. Introduction. Let SI C R" be a bounded domain with smooth boundary F. We consider the problem pd2tu — /LiAu — (p + A)V(V ■ u) + aV9 = 0 in ft x R+, (2.1) pcpdt9 — kA9 + adtV • u = 0 in fl x where u is a time-dependent deformation vector field, 6 is the normalized temperature, p, p, and cp are positive constants, 2/x + A > 0 (p the density, /i and A are Lame's constants, and cp is the specifi...

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We consider the adiabatic shearing of an incompressible non-Newtonian liquid with temperature dependent viscosity, subjected to steady shearing of the boundary. Identical equations govern the plastic shearing of a solid exhibiting thermal softening and strain rate sensitivity with constitutive relation obeying a certain power law. We establish that every classical solution approaches a uniform ...

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عنوان ژورنال:
فصلنامه تخصصی جنگ ایران و عراق

جلد ۴، شماره ۱۴، صفحات ۱۶۲-۱۶۷

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