On Surface Kinetic Constitutive Relations

Victor Eremeev; Leonid Lebedev

doi:10.1007/978-3-030-38708-2_9

On Surface Kinetic Constitutive Relations

Abstract

In the framework of the strain gradient surface elasticity we discuss a consistent form of surface kinetic energy. This kinetic constitutive equation completes the statement of initial–boundary value problems. The proposed surface kinetic energy density is the most general function consistent with the constitutive relations in bulk. As the surface strain energy depends on the surface deformation gradient and its gradient, the kinetic energy is a quadratic function of the velocity and its surface gradient.

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Authors (2)

Victor Eremeev prof. dr hab.
Leonid Lebedev dr. hab. prof.

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Category:: Monographic publication
Type:: rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:: Nonlinear Wave Dynamics of Materials and Structures strony 145 - 152
Language:: English
Publication year:: 2020
Bibliographic description:: Eremeev V., Lebedev L.: On Surface Kinetic Constitutive Relations// Nonlinear Wave Dynamics of Materials and Structures/ Cham: Springer, 2020, s.145-152
DOI:: Digital Object Identifier (open in new tab) 10.1007/978-3-030-38708-2_9
Verified by:: Gdańsk University of Technology