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A strain‐softening bar revisited
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015We revisit, from the standpoint of the modern theory of phase transitions, the classical problem on stretching of a strain‐softening bar, considered earlier by Bažant, Belytschko et al. The known solution is singular and predicts localization of deformations at a single point (an interval with zero length) of the bar.
Gavrilov, Serge N. +1 more
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Deformation of strain softening materials Part II: Modelling of strain softening response
Computers and Geotechnics, 1987Abstract This paper is an extension of the research reported by the authors in ref. [1]. The emphasis is placed on the modelling of unstable strain softening response. The inception of softening is viewed as a bifurcation problem. Necessary conditions for bifurcation corresponding to strain localization are first reviewed, followed by the description
S. Pietruszczak, D.F.E. Stolle
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LAOS: The strain softening/strain hardening paradox
Journal of Rheology, 2014Numerous materials, from biopolymers to filled rubbers, exhibit strain softening at high strain amplitudes during a strain sweep in oscillatory rheology: The modulus decreases with increasing deformation. On the other hand, if the nonlinear elastic response is analyzed within a single oscillation cycle (described by a Lissajous curve), these systems ...
Mermet-Guyennet, M. +5 more
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On Strain-softening in Dynamics
International Journal of Fracture, 2004On the basis of a discussion on the existence of strain-softening in concrete, a monotonic constitutive law, the effective law, has been proposed by the present author. The identification of the effective parameters has been performed for quasistatic load processes.
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Continuum Theory for Strain‐Softening
Journal of Engineering Mechanics, 1984In heterogeneous materials such as concretes or rocks, failure occurs by progressive distributed damage during which the material exhibits strain‐softening, i.e., a gradual decline of stress at increasing strain. It is shown that strain‐softening which is stable within finite‐size regions and leads to a nonzero energy dissipation by failure can be ...
Zdeněk P. Bažant +2 more
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Deformation of strain softening materials
Computers and Geotechnics, 1985Abstract This paper is a continuation of the research initiated by the first author and Z. Mroz [1] during the 1980–1981 period. It is intended as a prelude to a series of articles which extend the concepts and ideas introduced at that time. In the present article, finite element analysis for conventional strain-softening concepts is provided ...
S. Pietruszczak, D.F.E. Stolle
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Strain Softening in Rat Left Ventricular Myocardium
Journal of Biomechanical Engineering, 1994We investigated whether strain softening (or the Mullins effect) may explain the reduced left ventricular stiffness previously associated with the strain-history-dependent preconditioning phenomenon. Passive pressure–volume relations were measured in the isolated, arrested rat heart during LV balloon inflation and deflation cycles.
J L, Emery, J H, Omens, A D, McCulloch
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