Intrinsic formulation of the displacement-traction problem in linearized elasticity

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Original languageEnglish
Pages (from-to)1197-1216
Journal / PublicationMathematical Models and Methods in Applied Sciences
Issue number6
Online published27 Dec 2013
Publication statusPublished - Jun 2014


The displacement-traction problem of linearized elasticity is a system of partial differential equations and boundary conditions whose unknown is the displacement field inside a linearly elastic body. We explicitly identify here the corresponding boundary conditions satisfied by the linearized strain tensor field associated with such a displacement field. Using this identification, we are then able to provide an intrinsic formulation of the displacement-traction problem of linearized elasticity, by showing how it can be recast into a boundary value problem whose unknown is the linearized strain tensor field.

Research Area(s)

  • boundary conditions for the linearized strain tensor, displacement-traction problem, Intrinsic linearized elasticity