1,721,107 research outputs found
A Variational Definition of the Strain-energy For An Elastic String
No full textUsing the variational point of view, the constitutive equations of an elastic one-dimensional string are deduced from the stress-strain relations of nonlinear three-dimensional elasticity, by passing to the limit when the other dimensions go to zero. The assumptions made on the three-dimensional model are not very restrictive
A continuity theorem for operators from W1,q(Ω) into Lr(Ω)
No full textAbstractA continuity theorem for an operator Tƒ:W1,q(Ω) → Lr(Ω) of the form Tƒ(u) = ƒ(u, Du) when ƒ is not a continuous function is proven
Relaxation results for a class of variational integrals
No full textAbstractThe relaxation problem for functionals of the form ∝Ωƒ(u, Du) dx with ƒ(s, z) not necessarily continuous with respect to s is studied
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