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Thus, a systematic way to formulate boundary value problem for general symmetric laminates containing many cracked and un-cracked plies has been derived, and appropriate mathematical tools can then be employed to solve them.
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As the United States seeks to revive the peace negotiations and help formulate boundaries for an eventual Palestinian state, American officials say that Israel's settlement machine stands as one of their most formidable obstacles.
To solve the formulated boundary value problem, the technique of Hankel's integral transformation is used.
The formulated boundary-value problem is solved by a nonhypersingular traction boundary integral equation method (BIEM).
The formulated boundary-value problem solved and the influence of magnetic field on the characteristics of vibration process of the examined magnetoelastic system is investigated.
An initial stress formulation is used to formulate the boundary integral equations.
Modified Love-Timoshenko equations that model a shell forced by a longitudinal harmonic boundary condition at one end and grounded by a mechanical spring and damper at the other are used to formulate this boundary value problem.
We formulate the boundary conditions for Maxwell's equations to satisfy Poisson's equation throughout the domain by solving it only on the boundary.
In this paper we formulate a boundary value problem for the microstructural evolution during a diffusional transformation in a binary alloy.
This chapter is to (1) formulate a boundary value problem as a mathematic model to represent the physical behaviors of elements and (2) introduce the techniques to solve mathematic models for discretized elements.
In the transformation to a membrane problem composite expansions are utilized, uniformly valid over the length of the shell, to formulate modified boundary conditions that account for the effects of bending near the shell ends.
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