Work

Fixed Point Formulation and Accelation Iterative Algorithm for Thermal Buckling Analysis of Structures with Temperature-Dependent Material Properties

Year: 2025

Type: article

Abstract: For the temperature-dependent thermal structure problem of material properties, temperature not only affects the thermal structure response as a load term, but also affects the structural response through the temperature-dependent material properties. Therefore, for the problem of critical thermal buckling temperature analysis for material property temperature-dependent problems, the change of temperature affects both the geometric stiffness and the global stiffness of the structure, which leads to the nonlinear eigenvalue buckling problem. In this paper, the structural critical thermal buckling analysis for temperature-dependent problems of materials is mathematically reduced to a fixed point problem. By using the fixed point theory, the existence and uniqueness of the solution to the thermal buckling problem are discussed. On this basis, an Aitken accelerated iterative algorithm is proposed to solve the critical temperature of thermal buckling, which significantly improves the efficiency of the algorithm. Based on the proposed algorithm, the function of existing CAE software which can only solve the thermal structure buckling problem independent of material properties is extended by means of secondary development, and the effectiveness of the proposed method is verified through a circular ring example.

Source: Journal of Engineering Mechanics and Machinery

DOI: 10.23977/jemm.2025.100115

Authors: Shen Ruibo, Zhang Lili, Li Jianyu

Institutions: Tianjin University of Science and Technology, Tianjin University of Technology and Education

Language: English

Topic: Composite Structure Analysis and Optimization

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $329

OpenAlex ID: W4410900028