Topology Optimization and Robust Analysis of Welding Spot Layout for a Heavy Duty Truck Cab Based on Element Strain Energy Density

2014 ◽  
Vol 887-888 ◽  
pp. 1284-1289 ◽  
Author(s):  
An Cui ◽  
Shi Zhan Zhang ◽  
Li Juan Xu ◽  
Hui Zi Liu
Keyword(s):  
Topology Optimization ◽  
Energy Density ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Element Model ◽  
Optimization Method ◽  
Heavy Duty ◽  
Static Stiffness ◽  
Heavy Duty Truck ◽  
Welding Spot

The static stiffness and numerical modal are analyzed with the finite element model of a heavy duty truck cab. Considering the influence of welding spots on static stiffness, strength and first order modal frequency, the welding spots of the heavy duty truck cab are divided into two areas based on element strain energy density. And welding spot layout of the two areas is optimized by topology optimization method respectively. Then the robustness of welding spot layout before and after optimization is analyzed. The results show that the number of welding spots after optimization is reduced with the performance maintained and welding spot layout robustness of the cab is improved.

Analogy of Strain Energy Density Based Bone-Remodeling Algorithm and Structural Topology Optimization

2008 ◽  
Vol 131 (1) ◽  
Author(s):  
In Gwun Jang ◽  
Il Yong Kim ◽  
Byung Man Kwak
Keyword(s):  
Topology Optimization ◽  
Energy Density ◽  
Bone Remodeling ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Optimization Method ◽  
Bone Adaptation ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Method

In bone-remodeling studies, it is believed that the morphology of bone is affected by its internal mechanical loads. From the 1970s, high computing power enabled quantitative studies in the simulation of bone remodeling or bone adaptation. Among them, Huiskes et al. (1987, “Adaptive Bone Remodeling Theory Applied to Prosthetic Design Analysis,” J. Biomech. Eng., 20, pp. 1135–1150) proposed a strain energy density based approach to bone remodeling and used the apparent density for the characterization of internal bone morphology. The fundamental idea was that bone density would increase when strain (or strain energy density) is higher than a certain value and bone resorption would occur when the strain (or strain energy density) quantities are lower than the threshold. Several advanced algorithms were developed based on these studies in an attempt to more accurately simulate physiological bone-remodeling processes. As another approach, topology optimization originally devised in structural optimization has been also used in the computational simulation of the bone-remodeling process. The topology optimization method systematically and iteratively distributes material in a design domain, determining an optimal structure that minimizes an objective function. In this paper, we compared two seemingly different approaches in different fields—the strain energy density based bone-remodeling algorithm (biomechanical approach) and the compliance based structural topology optimization method (mechanical approach)—in terms of mathematical formulations, numerical difficulties, and behavior of their numerical solutions. Two numerical case studies were conducted to demonstrate their similarity and difference, and then the solution convergences were discussed quantitatively.

scholarly journals A Fatigue Evaluation Method for Radial Tire Based on Strain Energy Density Gradient

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Chen Liang ◽  
Zhi Gao ◽  
Shengkang Hong ◽  
Guolin Wang ◽  
Bentil Mawunya Kwaku Asafo-Duho ◽  
...  
Keyword(s):  
Fatigue Life ◽  
Energy Density ◽  
Density Gradient ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Evaluation Method ◽  
Optimization Method ◽  
Structure Parameters ◽  
Truck Tires ◽  
Fatigue Evaluation

Vehicle tires are major components that are subjected to fatigue loading and their durability is of economic interest as it is directly related to the safety of property and the life of producers and consumers. Tire durability is also a major issue of energy conservation and environmental protection. This research aims to establish a reasonable fatigue evaluation and optimization method that effectively improves tire fatigue life. In the study, 11.00R20 and 12.00R20 all-steel radial truck tires were the research objects, and the guiding hypothesis for the research was that “the maximum area of ​​the strain energy density gradient modulus corresponds to the initial failure area, its direction corresponds to the crack propagation direction, and also the maximum strain energy value is inversely proportional to the tire fatigue life.” Through finite element analysis and durability test, the strain energy density gradient was determined as tire fatigue evaluation index, and the hypothesis of tire fatigue life prediction was validated. At the same time, the sensitivities of strain energy gradient to the tire structure parameters were calculated. Besides, the relationship between the structure parameters and the fatigue life was as well established in this paper. This study has formulated a tire fatigue evaluation method and proposed an effective optimization method for enhancing tire fatigue life. The results obtained are of high application value in offering guidance for tire structural design and useful for refining the fatigue failure theory of truck radial tires and improving durability.

scholarly journals Numerical analysis of wood-high-density polyethylene composites: A hyperelastic approach

2018 ◽  
Vol 53 (1) ◽  
pp. 73-82
Author(s):  
Alejandro E Rodríguez-Sánchez ◽  
Alejandro Vega-Rios ◽  
Sergio G Flores-Gallardo ◽  
E Armando Zaragoza-Contreras ◽  
Mónica E Mendoza-Duarte
Keyword(s):  
Experimental Data ◽  
Finite Element ◽  
Energy Density ◽  
Mechanical Behavior ◽  
High Density Polyethylene ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Wood Fiber ◽  
Element Model ◽  
High Density

The application of a hyperelastic approach to simulate the tensile mechanical behavior of wood fiber/polymer composites is proposed. This research was conducted with the purpose of selecting the theoretical model that best fits the experimental data for use in the finite element model. The analyses by the four strain energy density functions (Polynomial, Ogden, Yeoh, and Marlow models) and the Cauchy-Green tensor invariants were used as the theoretical models. The experimental mechanical behavior of three wood fiber/polymer composites formulated with high-density polyethylene as the polymer matrix, and pine, cherry, and walnut sawdust as the fillers, at a concentration of 40 wt%, was evaluated. Experimental data showed that with filler addition, the tensile modulus of the high-density polyethylene matrix increased almost 131% regarding the neat high-density polyethylene; however, no significant differences were found respecting the kind of sawdust. Nevertheless, it was found that the elongation (%) at break was higher when walnut sawdust was employed. As for the strain energy density function analyses, the best approximation to the experimental data was achieved by the Marlow model, because this model only demands the sum of the principal extension ratios for a polymer-based material, I1. The numerical results showed that the proposed finite element model predicts the response with less than 1% error, regarding the experimental data, and consequently the use of the finite element models was simplified for the prediction of the tensile mechanical behavior of this kind of composites.

scholarly journals A Mixed Experimental-numerical Energy-based Approach for Fatigue Life Assessment in Notched Samples under Multiaxial Loading

2020 ◽  
Author(s):  
Ricardo Branco ◽  
F. Nogueira . ◽  
D. Costa . ◽  
P. Prates . ◽  
V. Antunes .
Keyword(s):  
Fatigue Life ◽  
Energy Density ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Master Curve ◽  
Low Cycle Fatigue ◽  
Element Model ◽  
Multiaxial Fatigue ◽  
Life Assessment ◽  
Multiaxial Loading

This paper presents a methodology to predict the fatigue lifetime in notched geometries subjected to multiaxial loading on the basis of the cumulated strain energy density. The modus operandi consists of defining an energy-based fatigue master curve that relates the cumulated strain energy density with the number of cycles to failure using standard cylindrical specimens tested under low-cycle fatigue conditions. After that, an elastic-plastic finite-element model representative of the material behaviour, notched geometry and multiaxial loading scenario is developed and used to account for the strain energy density at the crack initiation site. This energy is then averaged using the Theory of Critical Distances and inserted into the energy- based fatigue master curve to estimate the lifetime expectancy. Overall, the comparison between the experimental and predicted fatigue lives has shown a very good agreement. Keywords: Multiaxial fatigue, Fatigue life prediction, Strain energy density

scholarly journals Volume free strain energy density method for applications to blunt V-notches

2020 ◽  
Vol 28 ◽  
pp. 734-742
Author(s):  
Pietro Foti ◽  
Seyed Mohammad Javad Razavi ◽  
Liviu Marsavina ◽  
Filippo Berto
Keyword(s):  
Energy Density ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Density Method ◽  
Free Strain

scholarly journals On the application of the volume free strain energy density method to blunt V-notches under mixed mode condition

2021 ◽  
Vol 230 ◽  
pp. 111716
Author(s):  
Pietro Foti ◽  
Seyed Mohammad Javad Razavi ◽  
Majid Reza Ayatollahi ◽  
Liviu Marsavina ◽  
Filippo Berto
Keyword(s):  
Energy Density ◽  
Strain Energy Density ◽  
Mixed Mode ◽  
Strain Energy ◽  
Density Method ◽  
Free Strain
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