Solution of the inverse problem of two thermomechanical characteristics identification of a functionally graded rod

DOI10.18500/1816-9791-2022-22-2-180-195zbMath1496.74089OpenAlexW4293061942MaRDI QIDQ5086549

A. O. Vatul'yan, S. A. Nesterov

Publication date: 5 July 2022

Published in: Izvestiya of Saratov University. Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu932

zbMATH Keywords

identificationshooting methodthermal stress coefficientspecific heat capacitysystem of Fredholm integral equations of first kindheat conduction coefficientcoefficient inverse problem of thermoelasticityfunctionally graded rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Inverse problems in dynamical solid mechanics (74H75)

Cites Work

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• Inverse determination of spatially varying material coefficients in solid objects
• Identification of mechanical properties by displacement field measurement: a variational approach
• On determination of the thermomechanical characteristics of a functionally graded finite cylinder
• General framework for the identification of constitutive parameters from full-field measurements in linear elasticity
• Determination of space‐dependent coefficients from temperature measurements using the conjugate gradient method
• Concerning an approach to identifying the Lamé parameters of an elastic functionally graded cylinder

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