On the Bending of a Thin Plate at Nonlinear Creep

Abstract

The article gives the differential equation of bending of a thin plate at nonlinear creep. This equation is suitable for arbitrary dependencies between stresses and creep deformations. Derivation of the equation is based on simplifying hypotheses Kirchhoff-Loves technical theory of plate bending. Solution is made numerically by finite difference method. Calculations were performed in mathematical package MATLAB. As the material was taken epoxy polymer EDT-10, for which is valid the physical law of Maxwell-Gurevich. It is shown that with the growth of displacements the maximum stresses in the polymer plate decrease.

Calculation of a three-layer plate by the finite element method taking into account the creep of the filler

“…4 shows the curve of growth of the deflection in the center of the plate. The solid line corresponds to the solution obtained by the authors using the finite element method, the dashed line is the solution by the finite difference method according to the method described in [10]. When 0 = t the results are the same and at ∞ → t the difference is 1.83%.…”

“…5 -6. The stresses in the upper skin under the boundary conditions (10) in absolute value coincide with the stresses in the lower skin. The distribution of tangential stresses in the filler is shown in Fig.…”

Creep calculation for a three-layer beam with a lightweight filler

“…Since the middle layer of three-layer panels is often made of foams, this property must be taken into account in the design. The consideration of creep is associated with the solution of complex systems of integro-differential equations [1][2][3][4][5][6][7], which significantly hinders the use of the apparatus of creep theory in the practice of engineering calculations. In this paper, a comparatively simple method for calculating a three-layer beam considering creep is given, which can be used in engineering practice.…”

Optimization of thick-walled spherical shells at thermal and power influences

“…The above-mentioned property can be used for solving the inverse mechanical problems: determining such a law of the modulus of elasticity change of material of a structure and its elements that would make it equal in tension and strength [7][8][9].…”