1 citations · 1 across the 4 of their papers we have counts for
5 papers
A Justification of the Timoshenko Beam Model through -Convergence
Lior Falach, Roberto Paroni, Paolo Podio-Guidugli
We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of $…
On the role of sharp chains in the transport theorem
Lior Falach, Reuven Segev
A generalized transport theorem for convecting irregular domains is presented in the setting of Federer's geometric measure theory. A prototypical -dimensional domain is viewed…
Reynolds Transport Theorem for Smooth Deformations of Currents on Manifolds
Lior Falach, Reuven Segev
The Reynolds transport theorem for the rate of change of an integral over an evolving domain is generalized. For a manifold , a differentiable motion of in the manifold…
Application of Geometric measure Theory in Continuum Mechanics: The Configuration Space, Principle of Virtual Power and Cauchy's Stress Theory for Rough Bodies
Lior Falach
In this work, the principles of Homological Integration Theory are applied to the mathematical formulation of continuum mechanics. A central guideline in the currently acceptable f…
The configuration space and principle of virtual work for rough bodies
Lior Falach, Reuven Segev
In the setting of an -dimensional Euclidean space, the duality between velocity fields on the class of admissible bodies and Cauchy fluxes is studied using tools from geometric…