Temperature influence on strain state of a flexible plate

Abstract

Abstract. Developing analytical methods for studying the strain state of flexible plates is a relevant issue, especially for complex problems that recognize nonlinear operation and temperature-dependent changes in mechanical properties of materials. The paper analyzes the stress-strain state of a two-field flexible plate with an initial deflection exposed to a non-uniform temperature field. It presents and analyzes the results of the numerical studies based on an algorithm developed by the authors for designing anisotropic rectangular structural elements with discontinuous parameters, taking into account nonlinearities. The analysis of the design results suggests that initial deflection, physical and geometric nonlinearities, as well as inhomogeneity of the plate material need to be taken into consideration.

Rectangular plate calculation algorithm for static loads with geometric nonlinearity

“…From its solution we find the values of the function f. This will allow the solution to (27) and determine ψ. Calculating by (14) the second partial derivatives of ψ, we find b, с and d. By determining the parameter  from (21) according to (23) we can calculate a refined value g, which is the right-hand side of equation ( 24). Thus, the loop is closed.…”

“…Postnov, R.A. Reznikov, L.A. Rozin, A.S. Sakharov, A.F. Smirnov and others made important contributions to numerical methods for calculating structures with large deflection [16][17][18][19][20][21][22].…”