Asymptotic variational method-based method for simulating and optimizing composite material laminated plate

Abstract

The invention relates to an asymptotic variational method-based method for simulating and optimizing a composite material laminated plate, which belongs to the field of analysis of material mechanics. The method specifically comprises the following steps of: constructing a three-dimensional plate energy equation represented by a one-dimensional generalized strain and warping function on the basisof a rotation tensor decomposition concept; strictly splitting the original three-dimensional problem analysis into nonlinear two-dimensional plate analysis and cross-section analysis along a thickness direction on the basis of an asymptotic variational method; asymptotically correcting an approximate energy functional of a reduced-order model to a second order by using the inherent small parameter of the plate and converting the approximate energy functional into the form of Reissner model for practical application through an equilibrium equation; accurately reconstructing a three-dimensional stress / strain / displacement field by using an obtained global response asymptotic correction warping function; and optimizing the composite material laminated plate by using an optimization strategy of bending and torsion rigidity coefficients obtained by maximization cross-section analysis. The method has high practicability and high generality, and the resolving speed and efficiency of this type of problems can be remarkably increased.

Description

A Simulation and Optimization Method for Composite Laminates Based on Asymptotic Variation Method technical field The invention belongs to the field of analysis of mechanical properties of materials, in particular to an optimization strategy capable of effectively simulating and accurately reconstructing the three-dimensional stress / strain / deformation fields of composite material laminates and maximizing the bending and torsion items of the stiffness matrix, and laminated composite materials An optimal design method in which the laying inclination angle is the design variable. Background technique In the past 20 years, advanced composite structures have been widely used in aerospace, machinery, civil engineering and other fields due to their high strength, high modulus, and designability. Many composite material structures are flat laminate structures whose thickness dimension is much smaller than that of the other two directions. The flexibility of composite material layu...

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Problems solved by technology

Aiming at the problems of low analysis efficiency and poor precision in the prior art, especially the inability to accurately predict the stress distribution along the thickness direction, the purpose of the present invention is to provide a gradual Three-dimensional field simulation and optimization method of composite laminates based on near-variation method

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