Skip to main navigation Skip to search Skip to main content

Mathematical theory for elastic solutions in multilayered or functionally graded materials

Research output: Contribution to journalArticlepeer-review

Abstract

A concise mathematical theory is summarized which was developed 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.

Original languageEnglish
Pages (from-to)2845-2854
Number of pages10
JournalYanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering
Volume23
Issue number17
StatePublished - 1 Sep 2004
Externally publishedYes

Keywords

  • Analytical solution
  • Elasticity
  • Functionally graded materials
  • Heterogenous media
  • Layered materials

Fingerprint

Dive into the research topics of 'Mathematical theory for elastic solutions in multilayered or functionally graded materials'. Together they form a unique fingerprint.

Cite this