Second-gradient continua: From Lagrangian to Eulerian and back
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DOI: 10.1177/10812865221078822
Abstract: In this paper, we represent second-gradient internal work functionals in Lagrangian (referential) and Eulerian (spatial) descriptions, and we deduce the corresponding expressions for the Piola transformations of stress and double-stress tensors and of external forces… read more here.
Keywords: lagrangian eulerian; continua lagrangian; eulerian back; gradient continua ... See more keywords
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables
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DOI: 10.1177/10812865221098966
Abstract: This paper outlines the variational derivation of the Lagrangian equilibrium equations for the third-gradient materials, stemming from the minimization of the total potential energy functional, and the selection of suitable dual variables to represent the… read more here.
Keywords: gradient continua; continua nonstandard; work; selection ... See more keywords