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多层与梯度非均匀材料弹性力学问题解析解的简明数学理论 被引量：3

MATHEMATICAL THEORY FOR ELASTIC SOLUTIONS IN MULTILAYERED OR FUNCTIONALLY GRADED MATERIALS
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摘要 扼要介绍笔者最近20a研究出的一种简明数学理论,此理论可广泛适用于推导功能梯度包括多层非均匀材料中三维弹性力学问题的解析解。此种梯度非均匀材料在工程和科学各领域有广泛应用。也介绍一些应用此理论的成果,这些应用包括弹性动力学、热弹性力学、煤层开挖引起的地表移动、道路结构设计和强度评价、静力触探、土-水耦合固结基础沉降以及断裂力学。 A concise mathematical theory is summarized which was developed by the author over the last twenty years for analytically deriving solutions of three-dimensional boundary value problems encountered in elastic materials whose properties vary, continuously or in discrete steps, with depth from a surface exactly within the framework of elasticity. Such materials are now named as functionally graded materials(FGM). Some results are also presented that the author has obtained by using the theory in the analysis of various engineering problems. Such problems include elastodynamics, thermoelasticity, effect of imperfect bonding, ground subsidence due to coal mining, design and evaluation of pavement structures, ground investigation with static cone penetration, soil consolidation, 'as well as fracture mechanics in functionally graded materials.
作者 岳中琦
机构地区 香港大学土木工程系
出处 《岩石力学与工程学报》 EI CAS CSCD 北大核心 2004年第17期2845-2854,共10页 Chinese Journal of Rock Mechanics and Engineering
关键词 弹性力学 功能梯度材料 多层材料 非均匀介质 解析解 elasticity, functionally graded materials, layered materials, heterogenous media, analytical solution
分类号 O343 [理学—固体力学]
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参考文献47

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二级参考文献22

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共引文献88

同被引文献21

引证文献3

二级引证文献10

岩石力学与工程学报
2004年 第17期

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