Recent content by trabo

Not yet I'm afraid. I have a book on line that states that, but I just can't figure it out yet !

For the third point, does F depend on the boundary conditions ? For instance, if we consider a round tensile specimen with prescribed displacement at the top and below surface and with free stress on the lateral surface, can we infer F ? Sure, we know its impqct on points at the top and below...

Yes this is what I meant too, it was just a matter of notation. But as you notice, there is no velocity gradient in the material derivative of dx, whereas it is stated that \dfrac{d}{dt} (dx)=\nabla v . dx

Hi all, The plastic flow rule for large strains in a continuum medium can be written as : -\dfrac{1}{2} \Big ( \dfrac{d}{dt}(F_p^{-1} ). ^t F_p^{-1} + F_p^{-1} . ^t \dfrac{d}{dt} ( F_p^{-1} ) \Big)= \lambda F^{-1} \dfrac{\partial f}{\partial \tau} F F_p^{-1} . ^t F_p^{-1} where F_p is the...

Thanks for the reply. The expression that I know for the material derivative of a vector (and in general a tensor of any order) \vec{A} is D_t \vec{A} = \dfrac{\partial \vec{A}}{ \partial t} + \nabla \vec{A} .\underline{v} Anyhow, a way of seing the equality is : \dfrac{d}{dt} (dx)=dv that...

Hello everyone, In order to define the eulerian rate deformation tensor, one should first express \dfrac{d}{dt}(\underline{dx}) in gradient velocity terms (denoted \underline{\nabla v} with v equal to the partial time derivative of the geometrical mapping that relates the inital...

Hello everyone, I'm studying the finite strain theory and have come across the maximum dissipation principle. It implies a dissipation function defined as D=\tau:d-\dfrac{d\Psi}{dt} \tau denotes the Kirchhoff stress tensor, d the eulerian deformation rate and \Psi=\Psi(b_e,\xi) the free...