Solution of Nonsteady Problems of the Thermoelastic Deformation of Composite Laminates by the Finite Elements Method [Previously Titled: Solution of Non-Stationary Thermoelastic Deformation Problem for Laminated Composite Structures by the Finite Elements Method.]

Previously abstracted from original as item 9112-C1-D-2960. A solution is presented of a thermoelastic problem, by the finite elements method, for laminated structures (plates or shells) made from different materials. The plies can be made from anisotropic materials having a single plane of elastic symmetry. Temperature dependences of thermophysical and physicomechanical properties of the materials have been taken into account. First, the non-stable temperature field is determined. A scheme has been worked out based on the FEM (Galorkin's method). To reduce the three-dimensional problem of thermoconductivity to a two-dimensional one, two kinds of hypotheses of temperature distribution along the thickness of the laminate have been applied--piecewise linear and non-linear. Then the temperature field obtained is assumed to be a predetermined parameter in the space--time field of the laminated structure and used for temperature excitation. The problem of thermal stress distribution is solved in increments. An exact model of the stress--strain state has been applied, taking into account the influence of transverse shift and temperature-caused deformations. A set of rectangular and triangular finite elements was built and realized. The results of test problem solutions have been presented substantiating the method worked out, as well as the results of some new thermoelasticity problems for different materials, thermosensitive ones included.