Axisymmetric indentation of a periodically layered, viscoelastic half-space

DOI10.1007/S00033-022-01859-WzbMath1504.74063OpenAlexW4300817576MaRDI QIDQ2085801

Deepak Sachan, T. Muthukumar, Ishan Sharma

Publication date: 19 October 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01859-w

zbMATH Keywords

Laplace transformfinite element methodhomogenizationanisotropylinear viscoelasticitytwo-scale asymptotic expansionaxisymmetric indenter

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Contact in solid mechanics (74M15) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Linear constitutive equations for materials with memory (74D05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Uses Software

• ABAQUS

Cites Work

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• Asymptotic homogenization of viscoelastic composites with periodic microstructures
• Indentation of a periodically layered, planar, elastic half-space
• Viscoelastic solutions for conical indentation
• Elastic and viscoelastic indentation of flat surfaces by pyramid indentors
• The Contact Problem for Viscoelastic Bodies
• Boundary layer tails in periodic homogenization
• Indentation of a power law creeping solid
• Handbook of Contact Mechanics
• The Contact Stresses Between a Rigid Indenter and a Viscoelastic Half-Space
• The correspondence principle of linear viscoelasticity theory for mixed boundary value problems involving time-dependent boundary regions

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