Thermal stresses in elastic plates

Quasiharmonic elastic constants corrected for deviatoric thermal stresses

Pierre Carrier,1 João F. Justo,2 and Renata M. Wentzcovitch1 1Minnesota Supercomputing Institute, Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA 2Escola Politécnica, Universidade de São Paulo, CP 61548, CEP 05424-970 São Paulo, SP, Brazil and Chemical Engineering and Materials Science Department, University of Minnesota, Minn...

Normal stresses in elastic networks.

When loaded in simple shear deformation, polymeric materials may develop so-called normal stresses: stresses perpendicular to the direction of the applied shear. These normal stresses are intrinsically nonlinear: basic symmetry considerations dictate they may only enter at O(γ(2)), with γ the dimensionless shear strain. There is no fundamental restriction on their sign, and normal stresses may ...

Three-dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates

An analytical solution is presented for three-dimensional thermomechanical deformations of a simply supported functionally graded (FG) rectangular plate subjected to time-dependent thermal loads on its top and/or bottom surfaces. Material properties are taken to be analytical functions of the thickness coordinate. The uncoupled quasistatic linear thermoelasticity theory is adopted in which the ...

Thermal Stresses in an Isotropic Elastic Slab due to Prescribed Surface Temperature

A dynamical two dimensional problem of generalized thermoelasticity has been considered to examine the stresses in an isotropic elastic slab. Laplace transform for time variable and exponential Fourier transform for space variable has been applied in the basic equations to form a vector-matrix differential equation which is then solved by eigenvalue approach. Finally numerical computations of t...

On Bending of Elastic Plates*