Unsteady Axisymmetric Deformation of an Elastic Space with a Spherical Cavity under the Action of Body Forces

V. A. Vestyak; D.V. Tarlakovskii

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Unsteady Axisymmetric Deformation of an Elastic Space with a Spherical Cavity under the Action of Body Forces

机译：体力作用下具有球腔的弹性空间的非定常轴对称变形

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A homogeneous elastic isotropic space with a spherical cavity is considered. Unsteady axisymmetric body forces are exerted on this space. Disturbances are absent at the boundary of the cavity. Series expansions in Legendre polynomials and their derivatives as well as the Laplace time transform are used. The solution is represented in an integral form with kernels in the form of Green's functions. The structure of these kernels is determined and their originals are found. Numerical results are discussed.

机译：考虑具有球腔的均质弹性各向同性空间。不稳定的轴对称体力施加在该空间上。在空腔的边界处没有干扰。使用勒让德多项式及其导数的级数展开以及拉普拉斯时间变换。该解决方案以格林函数形式的内核完整地表示。确定了这些内核的结构并找到了它们的原始文件。数值结果进行了讨论。

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《Moscow university mechanics bulletin》 |2016年第4期|87-92|共6页
作者
V. A. Vestyak; D.V. Tarlakovskii;
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Moscow Aviation Institute, Faculty of Control Systems, Informatics and Electrical Engineering,Volokolamskoe shosse 4, Moscow, 125993, Russia;

Moscow State University, Moscow University Institute of Mechanics,Leninskie Gory, Moscow, 119991, Russia;

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1. UNSTEADY AXISYMMETRIC DEFORMATION OF AN ELASTIC THICK-WALLED SPHERE UNDER THE ACTION OF VOLUME FORCES [J] . Vestyak V. A., Tarlakovskii D. V. Journal of Applied Mechanics and Technical Physics . 2015,第6期

机译：体积力作用下弹性厚壁球的非定常轴对称变形
2. Love's Stress Function for Torsionless Axisymmetric Deformation of Elastically Isotropic Bodies With Body Forces [J] . J. G. Simmonds Journal of Applied Mechanics: Transactions of the ASME . 2000,第3期

机译：弹性力各向同性体无扭转轴对称变形的洛夫应力函数
3. LARGE DEFORMATIONS OF BODIES OF REVOLUTION MADE OF ELASTIC HOMOGENEOUS AND FIBER-REINFORCED MATERIALS 2. TOROIDAL BODIES UNDER THE ACTION OF CENTRIFUGAL FORCES AND TORSION [J] . Akhundov VM Mechanics of composite materials . 2010,第4期

机译：弹性均质和纤维增强材料制成的旋转体的大变形2.离心力和扭转作用下的环形体
4. Shear load transfer in shape memory alloy fiber reinforced composites during elastic axisymmetric deformations [C] . Hungyu Tsai, Xinjian Fan ASME international mechanical engineering congress and exposition . 2000

机译：弹性轴对称变形过程中形状记忆合金纤维增强复合材料的剪切载荷传递
5. FINITE DIFFERENCE BOUNDARY DEFORMATION TECHNIQUES IN THE ANALYSIS OF ELASTIC BODIES OF REVOLUTION WITH APPLICATION TO SEMI-INFINITE BODIES CONTAINING CAVITIES AND FLYWHEEL CROSS-SECTION OPTIMIZATION. [D] . CURTIS, DANIEL MICHAEL. 1980

机译：弹性体分析中的有限差分边界变形技术及其在含腔和飞轮横截面优化的半无限体中的应用。
6. LoadDef: A Python‐Based Toolkit to Model Elastic Deformation Caused by Surface Mass Loading on Spherically Symmetric Bodies [O] . Hilary R. Martens, Luis Rivera, Mark Simons -1

机译：LoadDef：基于Python的工具包用于建模由球对称物体上的表面质量载荷引起的弹性变形
7. UNSTEADY AXISYMMETRIC DEFORMATION OF AN ELASTIC THICK-WALLED SPHERE UNDER THE ACTION OF VOLUME FORCES [O] . 2015

机译：在体积力作用下弹性厚壁球的不稳定轴对称变形
8. Thermal Shock in an Elastic Body with a Spherical Cavity [R] . Eli Sternberg, J. G. Chakravorty, R. I. Providence 1958

机译：具有球形腔的弹性体中的热冲击

Unsteady Axisymmetric Deformation of an Elastic Space with a Spherical Cavity under the Action of Body Forces

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