6533b855fe1ef96bd12b0717

RESEARCH PRODUCT

Thermal deformations of inhomogeneous elastic plates

Timo TiihonenReijo Pietikäinen

subject

Physics::Fluid DynamicsClassical mechanicsVon karman equationsGeneral MathematicsThermalConvergence (routing)General EngineeringNon linear modelConvergence proofsFöppl–von Kármán equationsSymmetry (physics)Three dimensional modelMathematics

description

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

https://doi.org/10.1002/mma.1670180602