Kačanov - Galerkin method and its application
Kam kráčí výpočtová mechanika?
Kelvin's solution and nuclei of strain in a solid mixture
Kinematic criteria of dynamic shakedown extended to nonassociative constitutive laws with saturation nonlinear hardening
The class of elastic-plastic material models considered allows for nonassociativity, nonlinear hardening and saturation in the sense that the static internal variables are constrained by a bounding surface described through convex bounding functions. With reference to finite element, generalized variables discretization in space, two dynamic shakedown criteria are established by a kinematic approach in Koiter's sense, based on weak constitutive restrictions and centered on two suitable definitions...
Kinetic and hydrodynamic equations for granular media
In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Kirchhoff-Carrier elastic strings in noncylindrical domains.
Koiter shell governed by strongly monotone constitutive equations
In this paper we use the theory of monotone operators to generalize the linear shell model presented in (Blouza and Le Dret, 1999) to a class of physically nonlinear models. We present a family of nonlinear constitutive equations, for which we prove the existence and uniqueness of the solution of the presented nonlinear model, as well as the convergence of the Galerkin method. We also present the physical discussion of the model.
Korn's inequalities for junctions of elastic bodies with thin plates.
Korn's inequality for an arbitrary system of distorted thin rods.
Korn's inequality uniform with respect to a class of axisymmetric bodies
The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.