106 research outputs found
Korn's second inequality and geometric rigidity with mixed growth conditions
Geometric rigidity states that a gradient field which is -close to the
set of proper rotations is necessarily -close to a fixed rotation, and is
one key estimate in nonlinear elasticity. In several applications, as for
example in the theory of plasticity, energy densities with mixed growth appear.
We show here that geometric rigidity holds also in and in
interpolation spaces. As a first step we prove the corresponding linear
inequality, which generalizes Korn's inequality to these spaces
Reliable Solution of a Unilateral Frictionless Contact Problem in Quasi-Coupled Thermo-Elasticity with Uncertain Input Data
Investigation of sandwich material surface created by abrasive water jet (AWJ) via vibration emission
The paper presents research a of abrasive waterjet cutting of heterogeneous “sandwich“ material with different Young modulus of elasticity of the cutted surface geometry by means of vibration emission. In order to confirm hypothetical assumptions about direct relation between vibration emission and surface quality an experiment in heterogeneous material consisting of stainless steel (DIN 1.4006 / AISI 410) and alloy AlCuMg2 has been provided
Eigenvalue problems associated with Korn's inequalities
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46189/1/205_2004_Article_BF00251798.pd
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems
Metabolic differentiation of surface and invasive cells of yeast colony biofilms revealed by gene expression profiling
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