Edge crack problem in a semi-infinite FGM plate with a bi-directional coefficient of thermal expansion under two-dimensional thermal loading

DOI10.1007/BF01170176zbMath1005.74054OpenAlexW2091666495MaRDI QIDQ1595280

R. Smith

Publication date: 19 February 2003

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170176

zbMATH Keywords

integral equationfunctionally graded materialsingular integralsboundary value problemasymptotic analysisgeneralized Cauchy kernelthermal stress intensity factorbi-directional coefficient of thermal expansionsemi-infinite edge cracked platetwo-dimensional thermal loading

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Thermal effects in solid mechanics (74F05)

Related Items (5)

Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading ⋮ Vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving load ⋮ Instability of functionally graded micro-beams via micro-structure-dependent beam theory ⋮ Semi-analytical analysis for multi-directional functionally graded plates: 3-D elasticity solutions ⋮ Reduction of thermal stresses by composition optimization of two-dimensional functionally graded materials

Cites Work

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• On the application of numerical integration rules to the solution of some singular integral equations
• A crack in functionally gradient materials under thermal shock
• Thermoelastic theory for the response of materials functionally graded in two directions
• The Crack Problem for a Nonhomogeneous Plane
• On the solution of integral equations with strongly singular kernels
• The Crack Problem in Bonded Nonhomogeneous Materials
• Crack-Tip Singular Fields in Nonhomogeneous Materials
• Thermal stress intensity factor for functionally gradient half space with an edge crack under thermal load

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