The elastic-viscoelastic correspondence principle for non-homogeneous materials with time translation non-invariant properties

DOI10.1016/j.ijsolstr.2008.04.011zbMath1169.74358OpenAlexW2008912854MaRDI QIDQ837473

Lev Khazanovich

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.04.011

zbMATH Keywords

similarityviscoelasticityfunctionally graded materialscorrespondence principleVolterra operatorstime translation invariant

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Linear constitutive equations for materials with memory (74D05)

Related Items (5)

Development of an improved mathematical model for the dynamic response of a sphere located at a viscoelastic medium interface ⋮ A boundary element formulation for the heterogeneous functionally graded viscoelastic structures ⋮ Three dimensional static analysis of viscoelastic FGM cylindrical panel using state space differential quadrature method ⋮ Creep buckling and post-buckling analysis of the laminated piezoelectric viscoelastic functionally graded plates ⋮ Dynamic analyses of viscoelastic three-dimensional structures with advanced one-dimensional finite elements

Cites Work

• Unnamed Item
• On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators
• On some properties of Effros Borel structure on spaces of closed subsets
• On Isometric Equivalence of Certain Volterra Operators
• Correspondence Principle in Viscoelastic Functionally Graded Materials
• The Elastic-Viscoelastic Correspondence Principle for Functionally Graded Materials, Revisited
• CRITERIA FOR LINEAR EQUIVALENCE OF VOLTERRA OPERATORS IN THE SCALE $ L_p \lbrack 0,1\rbrack$ ($ 1\leq p\leq\infty$)
• [https://portal.mardi4nfdi.de/wiki/Publication:5342082 Volterra Operators Similar to J: f(x) → � x 0 f(y)dy]
• Some Notes on the Linear Viscoelasticity of Functionally Graded Materials
• An Application of the Correspondence Principle of Linear Viscoelasticity Theory

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