CONSTITUTIVE RELATIONS AND FINITE ELEMENT ANALYSIS OF NONLINEAR ELASTIC CONTINUA

Author(s):  
E. BARSOUM ◽  
M. BIENIEK
2020 ◽  
Vol 60 (6) ◽  
pp. 1273-1283
Author(s):  
Honghao Wang ◽  
Boxun Wu ◽  
Takuya Higuchi ◽  
Jun Yanagimoto

2012 ◽  
Vol 476-478 ◽  
pp. 2463-2468 ◽  
Author(s):  
Ji Cheng Zhang ◽  
Jun Yang

In this paper, a constitutive relationship of the concrete core restrained by L-Shaped steel tube is put forward based on referring to the constitutive relations of core concrete in concrete-filled square steel tube columns, which takes the restraint of steel tube to concrete as an equivalent confinable effect coefficient . Load-deformation relationship of L-Shaped concrete-filled steel tubular column subjected to axial compression is analyzed by finite element analysis (using ABAQUS software). The predicted load versus deformation relationship cures are in good agreement with those of tests based on the finite element analysis, loads carried by steel tubes and concrete respectively during the loading process, as well as interactions between them are analyzed. Finally, influences of length-width ratio and width-thickness ratio on the interaction between steel tubes and concrete are investigated.


Author(s):  
Wei Zhang ◽  
Anil Erol ◽  
Saad Ahmed ◽  
Sarah Masters ◽  
Paris von Lockette ◽  
...  

Active origami designs, which incorporate smart materials such as electroactive polymers (EAPs) and magnetoactive elastomers (MAEs) into mechanical structures, have shown good promise in engineering applications. In this study, finite element analysis (FEA) models are developed using COMSOL Multiphysics software for two configurations that incorporate a combination of active and passive material layers, namely: 1) a single-notch unimorph folding configuration actuated using only external electric field and 2) a bimorph configuration which is actuated using both electric and magnetic (i.e. multifield) stimuli. Constitutive relations are developed for both electrostrictive and magnetoactive materials to model the coupled behaviors directly. Shell elements are adopted for their capacity of modeling thin films, reduction of computational cost and ability to model the intrinsic coupled behaviors in the active materials under consideration. A microstructure-based constitutive model for electromechanical coupling is introduced to capture the nonlinearity of the EAP’s relaxor ferroelectric response; the electrostrictive coefficients are then used as input in the constitutive modeling of the coupled behavior. The magnetization of the MAE is measured by experiment and then used to calculate magnetic torque under specified external magnetic field. The objective of the study is to verify the effectiveness of the constitutive models to simulate multi-field coupled behaviors of the active origami configurations. Through quantitative comparisons, simulation results show good agreement with experimental data, which is a good validation of the shell models. By investigating the impact of material selection, location, and geometric parameters, FEA can be used in design, reducing trial-and-error iterations in experiments.


Author(s):  
Saeid Nezamabadi ◽  
Hamid Zahrouni ◽  
Julien Yvonnet ◽  
Michel Potier-Ferry

In this study, we propose a numerical technique which combines a perturbation approach (asymptotic numerical method) and a multilevel finite element analysis. This procedure allows dealing with instability phenomena in the context of heterogeneous materials where buckling may occur at both macroscopic and/or microscopic scales. Different constitutive relations are applied and geometrical non-linearity is taken into account at both scales. Numerical examples involving instabilities at both micro and macro levels are presented.


2012 ◽  
Vol 238 ◽  
pp. 264-267 ◽  
Author(s):  
Jian Wei Zhang ◽  
Sheng Zhao Cheng ◽  
Shu Fang Yuan ◽  
Yu Zhao

Concrete face rockfill dam has the certain superiority in the construction of dam. Duncan-Chang nonlinear elastic model is selected as the dam materials in ABAQUS, which is an nonlinear finite element analysis software. Stresses and deformations of the concrete face rockfill dam are analyzed during its completion, operation and water level drawdown periods. Study shows that all results meet the requirements of the project, and have referenced value for other similar engineering.


2011 ◽  
Vol 368-373 ◽  
pp. 2031-2040
Author(s):  
Jia Wei Zhang ◽  
Zhi Guo Yang ◽  
Ya Ping Wu ◽  
Shi Jun Zhou ◽  
Jian Chang Zhao

Based on nonlinear elastic theory and Hamilton’s principle, a generalized element stiffness matrix, which incorporates the effects of flexural as well as axial stresses induced by initial load, is given. A finite element method for dynamic analysis considering the effect of initial load is presented, with corresponding computer programs produced to facilitate the analysis. The formula is validated through a comparison in results with the analytical solution. The effects of key physical factors, including the type and magnitude of initial load, and stiffness parameters such as sectional inertia moment, inertia radius and span, on the dynamic characteristics of the beams with various restraint conditions are discussed with the effect of initial flexural stress considered. The results suggest that the natural frequency of the beam would be enhanced due to the existence of flexural stress induced by initial load and such as effect relates to the magnitude of initial load and stiffness parameters of the beam.


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