In the classical approach to elasticity problems, the components of the displacement field
are the primary unknowns. In an" intrinsic''approach, new unknowns with more physical or …

This review is devoted to various formulations of problems in stresses in the linear theory of
elasticity, taking into account the compatibility conditions in various ways. This paper is …

For homogeneous higher-gradient elasticity models we discuss frame-indifference and
isotropy requirements. To this end, we introduce the notions of local versus global SO (3) …

The compatibility conditions for generalised continua are studied in the framework of
differential geometry, in particular Riemann–Cartan geometry. We show that Vallée's …

The problem of finding a deformation corresponding to a given Cauchy–Green strain is
approached with a procedure that employs the Gram decomposition of the deformation …

In this note, we extend integrability conditions for the symmetric stretch tensor U in the polar
decomposition of the deformation gradient ∇ φ= F= R\, U∇ φ= F= RU to the nonsymmetric …

For large deformation elastoplasticity, the question of the polar decomposition of the
deformation gradient F is examined. A new decomposition, involving a triangular matrix S …

In 1992, C. Vallée showed that the metric tensor field C=∇ ΘT∇ Θ associated with a smooth
enough immersion Θ: Ω→ R3 defined over an open set Ω⊂ R3 necessarily satisfies the …

Although the standard generally covariant Dirac equation is unique in a topologically simple
spacetime, it has been shown that it leads to non-uniqueness problems for the Hamiltonian …

Explicit relations are given for the conditions satisfied by the tensors involved in the
compatibility equations of three-dimensional continua undergoing large deformations …