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Description of Stress-Strain Curves by Three Parameters

TL;DR: In this paper, a simple formula is suggested for describing the stress-strain curve in terms of three parameters; namely, Young's modulus and two secant yield strengths.
Abstract: A simple formula is suggested for describing the stress-strain curve in terms of three parameters; namely, Young's modulus and two secant yield strengths. Dimensionless charts are derived from this formula for determining the stress-strain curve, the tangent modulus, and the reduced modulus of a material for which these three parameters are given. Comparison with the tensile and compressive data on aluminum-alloy, stainless-steel, and carbon-steel sheet in NACA Technical Note No. 840 indicates that the formula is adequate for most of these materials. The formula does not describe the behavior of alclad sheet, which shows a marked change in slope at low stress. It seems probable that more than three parameters will be necessary to represent such stress-strain curves adequately.

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Journal ArticleDOI
TL;DR: A mathematical representation of the multiaxial Bauschinger effect of materials at high temperatures was presented in this paper. But the model was not considered in this paper, nor in the paper.
Abstract: (2007) A mathematical representation of the multiaxial Bauschinger effect Materials at High Temperatures: Vol 24, No 1, pp 1-26

1,583 citations

Journal ArticleDOI
TL;DR: This paper reviews friction phenomena and friction models of interest for automatic control, with particular emphasis given to two recently developed dynamic friction models: the Bliman-Sorine model and the LuGre model.

1,575 citations


Cites background from "Description of Stress-Strain Curves..."

  • ...The starting point for Dahl’s model is the stress-strain curve in classical solid mechanics, see [46] and [49], and Figure 6....

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Journal ArticleDOI
TL;DR: In this paper, a new dynamic friction force model for the longitudinal road/tire interaction for wheeled ground vehicles is derived, based on a dynamic friction model developed previously for contact-point friction problems, called the LuGre model.
Abstract: In this paper we derive a new dynamic friction force model for the longitudinal road/tire interaction for wheeled ground vehicles. The model is based on a dynamic friction model developed previously for contact-point friction problems, called the LuGre model. By assuming a contact patch between the tire and the ground we develop a partial differential equation for the distribution of the friction force along the patch. An ordinary differential equation (the lumped model) for the friction force is developed, based on the patch boundary conditions and the normal force distribution along the contact patch. This lumped model is derived to approximate closely the distributed friction model. Contrary to common static friction/slip maps, it is shown that this new dynamic friction model is able to capture accurately the transient behaviour of the friction force observed during transitions between braking and acceleration. A velocity-dependent, steady-state expression of the friction force versus the slip coefficient is also developed that allows easy tuning of the model parameters by comparison with steady-state experimental data. Experimental results validate the accuracy of the new tire friction model in predicting the friction force during transient vehicle motion. It is expected that this new model will be very helpful for tire friction modeling as well as for anti-lock braking (ABS) and traction control design.

372 citations


Cites background from "Description of Stress-Strain Curves..."

  • ...The starting point of Dahl’s model is the stress-strain curve in classical solid mechanics [17, 18]; see Figure 4....

    [...]

Journal ArticleDOI
TL;DR: In this paper, basic material properties and cross-sectional data (stress-strain curves and load-end shortening curves) are presented for square, rectangular and circular hollow section specimens in Grade 1.4301 stainless steel.

358 citations

Journal ArticleDOI
TL;DR: In this article, an experimental investigation was carried out to study the behavior of square thin-walled aluminium extrusions in alloy AA6060 subjected to axial loading, and both static and dynamic tests were performed and the primary variables were the wall thickness and temper of the square tubes and the impact velocity of the projectile.

355 citations