Thermal Stress Analysis of Double-Layered Grids

A simple, rational approach is presented for developing thermoelastic continuum plate models for large repetitive double-layered grids subjected to arbitrary temperature distribution. The continuum plate models are characterized by their thermoelastic strain energy from which the equations of motion and constitutive relations can be derived. The procedure for developing the expression for the thermoelastic strain energy of the continuum involves introducing basic assumptions regarding the variation of the temperature and displacement components in the thickness direction, and obtaining effective thermoelastic coefficients of the continuum in terms of the material properties and geometry of the original lattice structure. The high accuracy of the continuum plate models developed is demonstrated by means of a numerical example of a square inclined double-layered grid.