Structural Embrittlement Due to Rivited Joints - Evolution to a Macroscopic Model for Crash-Analysis

In this paper two new mathematical models are proposed that correspond to a macroscopic model of tissue invasion of solid tumours, in terms of a system of reaction-diffusion-chemotaxis equations. The first model is defined at the micro-scale level of a large number of interacting individual entities, and is in terms of a linear (Markov) equation. The second model refers to the meso-scale level of description of test-entities and is given in terms of a bilinear Boltzmann-type equation. Mathematical relationships among these three possible descriptions are formulated. Explicit error estimates are given.

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Crush and crash analysis of an automotive battery-pack enclosure for lightweight design

International Journal of Crashworthiness ◽

10.1080/13588265.2020.1812253 ◽

2020 ◽

pp. 1-10

Author(s):

Yongjun Pan ◽

Yue Xiong ◽

Wei Dai ◽

Keshan Diao ◽

Lei Wu ◽

...

Keyword(s):

Lightweight Design ◽

Battery Pack ◽

Crash Analysis

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Design Guidance for Freeway Main-Line Ramp Terminals

Transportation Research Record Journal of the Transportation Research Board ◽

10.3141/2309-06 ◽

2012 ◽

Vol 2309 (1) ◽

pp. 48-60 ◽

Cited By ~ 3

Author(s):

Darren J. Torbic ◽

Jessica M. Hutton ◽

Courtney D. Bokenkroger ◽

Marcus A. Brewer

Keyword(s):

Field Study ◽

Driver Behavior ◽

Main Line ◽

Behavioral Study ◽

Crash Analysis ◽

Vehicle Performance ◽

Green Book ◽

Improved Design ◽

Parallel Acceleration ◽

Design Guidance

This paper presents the results of a study to develop improved design guidance for freeway main-line ramp terminals on the basis of modern driver behavior and vehicle performance capabilities. The primary steps included a crash analysis, an observational field study, and a driver behavioral study. This research reached several key conclusions, as follows. Vehicle merging speeds tend to be closer to freeway speeds at tapered acceleration lanes than at parallel acceleration lanes. The recommended minimum lengths for acceleration lanes presented in the 2004 edition of AASHTO's A Policy on Geometric Design of Highways and Streets (Green Book) are conservative and, under certain conditions, could be reduced by 15%. In a situation in which a significant volume of trucks uses an entrance ramp, an acceleration lane length that will better accommodate trucks can be derived by using speed–distance curves developed for a range of weight-to-power ratios. The recommended minimum lengths for deceleration lanes presented in the 2004 Green Book are conservative and do not account for deceleration in the freeway. Providing deceleration lanes longer than the minimum values given in the Green Book may promote casual deceleration by exiting drivers. Several potential changes for consideration in the next edition of the Green Book are recommended on the basis of the findings and conclusions of this research.

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An efficient FE model of slender members for crash analysis of cable barriers

Engineering Structures ◽

10.1016/j.engstruct.2013.02.027 ◽

2013 ◽

Vol 52 ◽

pp. 240-256 ◽

Cited By ~ 17

Author(s):

Qian Wang ◽

Hongbing Fang ◽

Ning Li ◽

David C. Weggel ◽

Guilin Wen

Keyword(s):

Fe Model ◽

Crash Analysis

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MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202513500486 ◽

2013 ◽

Vol 24 (01) ◽

pp. 113-144 ◽

Cited By ~ 1

Author(s):

MARKUS AURADA ◽

JENS M. MELENK ◽

DIRK PRAETORIUS

Keyword(s):

Mixed Finite Element ◽

Large Body ◽

Mixed Finite Element Method ◽

Adaptive Strategy ◽

Posteriori Error ◽

Higher Order ◽

Three Dimensions ◽

Macroscopic Model ◽

Error Estimator ◽

Discrete Problem

We introduce a stabilized conforming mixed finite element method for a macroscopic model in micromagnetics. We show well-posedness of the discrete problem for higher order elements in two and three dimensions, develop a full a priori analysis for lowest order elements, and discuss the extension of the method to higher order elements. We introduce a residual-based a posteriori error estimator and present an adaptive strategy. Numerical examples illustrate the performance of the method.

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