Uniqueness of Weak Solutions to Dynamic Problems in the Elasticity Theory with Boundary Conditions of Winkler and Inertial Types

M.Sh. Israilov; S.E. Nosov

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Uniqueness of Weak Solutions to Dynamic Problems in the Elasticity Theory with Boundary Conditions of Winkler and Inertial Types

机译：具有Winkler边界条件和惯性类型的弹性理论中动力问题弱解的唯一性

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摘要

A uniqueness theorem for the weak solution of an initial-boundary value problem in the anisotropic elasticity theory with the boundary conditions that "do not conserve" energy, namely, with the impedance and inertial type conditions is proved. The chosen method of proof does not require the positive definiteness of the elastic constant tensor (the case that may arise when solving the problems by the homogenization method for composite materials), but it requires to take the energy variation law as a postulate.

机译：证明了各向异性弹性理论中具有“不节约”能量的边界条件，即具有阻抗和惯性类型条件的初边值问题的弱解的唯一性定理。选择的证明方法不需要弹性常数张量的正定性（在通过复合材料的均质化方法解决问题时可能出现的情况），但是需要将能量变化定律作为假设。

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《Moscow University Mechanics Bulletin》 |2016年第3期|65-68|共4页
作者
M.Sh. Israilov; S.E. Nosov;
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Chechen State University, Institute of Mathematical Physics and Seismodynamics, bul'var Dudaeva 17, Grozny, 364907, Russia;

Chechen State University, Institute of Mathematical Physics and Seismodynamics, bul'var Dudaeva 17, Grozny, 364907, Russia;

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Uniqueness of Weak Solutions to Dynamic Problems in the Elasticity Theory with Boundary Conditions of Winkler and Inertial Types

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