6533b855fe1ef96bd12b0717
RESEARCH PRODUCT
Thermal deformations of inhomogeneous elastic plates
Timo TiihonenReijo Pietikäinensubject
Physics::Fluid DynamicsClassical mechanicsVon karman equationsGeneral MathematicsThermalConvergence (routing)General EngineeringNon linear modelConvergence proofsFöppl–von Kármán equationsSymmetry (physics)Three dimensional modelMathematicsdescription
We consider thermal deformations of transversally inhomogenous elastic plates. Thin plate equations are derived as limits of full three-dimensional models both in the linear was well as in the non-linear case with appropriate convergence proofs. In the non-linear case also the corresponding von Karman equations are formulated. Its is obtained that the inhomogeneity leads to the loss of some symmetry properties at the von Karman equations
year | journal | country | edition | language |
---|---|---|---|---|
1995-05-01 | Mathematical Methods in the Applied Sciences |