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Relevant bibliographies by topics / Quasistatic evolution

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Academic literature on the topic 'Quasistatic evolution'

Author: Grafiati

Published: 14 March 2023

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Journal articles on the topic "Quasistatic evolution"

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DOBBS, NEIL, and MIKKO STENLUND. "Quasistatic dynamical systems." Ergodic Theory and Dynamical Systems 37, no. 8 (May 12, 2016): 2556–96. http://dx.doi.org/10.1017/etds.2016.9.

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We introduce the notion of a quasistatic dynamical system, which generalizes that of an ordinary dynamical system. Quasistatic dynamical systems are inspired by the namesake processes in thermodynamics, which are idealized processes where the observed system transforms (infinitesimally) slowly due to external influence, tracing out a continuous path of thermodynamic equilibria over an (infinitely) long time span. Time evolution of states under a quasistatic dynamical system is entirely deterministic, but choosing the initial state randomly renders the process a stochastic one. In the prototypical setting where the time evolution is specified by strongly chaotic maps on the circle, we obtain a description of the statistical behavior as a stochastic diffusion process, under surprisingly mild conditions on the initial distribution, by solving a well-posed martingale problem. We also consider various admissible ways of centering the process, with the curious conclusion that the ‘obvious’ centering suggested by the initial distribution sometimes fails to yield the expected diffusion.

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Davoli, Elisa. "Quasistatic evolution models for thin plates arising as low energy Γ-limits of finite plasticity." Mathematical Models and Methods in Applied Sciences 24, no. 10 (May 27, 2014): 2085–153. http://dx.doi.org/10.1142/s021820251450016x.

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In this paper we deduce by Γ-convergence some partially and fully linearized quasistatic evolution models for thin plates, in the framework of finite plasticity. Denoting by ε the thickness of the plate, we study the case where the scaling factor of the elasto-plastic energy is of order ε2α-2, with α ≥ 3. These scalings of the energy lead, in the absence of plastic dissipation, to the Von Kármán and linearized Von Kármán functionals for thin plates. We show that solutions to the three-dimensional quasistatic evolution problems converge, as the thickness of the plate tends to zero, to a quasistatic evolution associated to a suitable reduced model depending on α.

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Kružík, Martin, David Melching, and Ulisse Stefanelli. "Quasistatic evolution for dislocation-free finite plasticity." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 123. http://dx.doi.org/10.1051/cocv/2020031.

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We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients.

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Mora-Corral, Carlos. "Quasistatic Evolution of Cavities in Nonlinear Elasticity." SIAM Journal on Mathematical Analysis 46, no. 1 (January 2014): 532–71. http://dx.doi.org/10.1137/120872498.

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FRIGERI, SERGIO, PAVEL KREJČÍ, and ULISSE STEFANELLI. "QUASISTATIC ISOTHERMAL EVOLUTION OF SHAPE MEMORY ALLOYS." Mathematical Models and Methods in Applied Sciences 21, no. 12 (December 2011): 2409–32. http://dx.doi.org/10.1142/s0218202511005787.

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This paper focuses on a three-dimensional phenomenological model for the isothermal evolution of a polycrystalline shape memory alloy. The model, originally proposed by Auricchio, Taylor, and Lubliner in 1997, is thermodynamically consistent and reproduces the crucial martensitic reorientation effect as well as the tension-compression asymmetric behavior of the material. We prove the existence of a weak solution of the corresponding quasistatic evolution problem by passing to the limit within a time-discretization procedure.

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Babadjian, Jean-François. "Quasistatic evolution of a brittle thin film." Calculus of Variations and Partial Differential Equations 26, no. 1 (January 30, 2006): 69–118. http://dx.doi.org/10.1007/s00526-005-0369-y.

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Kružík, Martin, Ulisse Stefanelli, and Chiara Zanini. "Quasistatic evolution of magnetoelastic plates via dimension reduction." Discrete and Continuous Dynamical Systems 35, no. 12 (May 2015): 5999–6013. http://dx.doi.org/10.3934/dcds.2015.35.5999.

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Thomas, Marita. "Quasistatic damage evolution with spatial $\mathrm{BV}$-regularization." Discrete & Continuous Dynamical Systems - S 6, no. 1 (2013): 235–55. http://dx.doi.org/10.3934/dcdss.2013.6.235.

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Dal Maso, G., Antonio DeSimone, M. G. Mora, and M. Morini. "Globally stable quasistatic evolution in plasticity with softening." Networks & Heterogeneous Media 3, no. 3 (2008): 567–614. http://dx.doi.org/10.3934/nhm.2008.3.567.

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Kuttler, K. L., and M. Shillor. "Quasistatic evolution of damage in an elastic body." Nonlinear Analysis: Real World Applications 7, no. 4 (September 2006): 674–99. http://dx.doi.org/10.1016/j.nonrwa.2005.03.026.

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Dissertations / Theses on the topic "Quasistatic evolution"

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MAGGIANI, GIOVANNI BATTISTA. "Quasistatic and dynamic evolution problems for thin bodies in perfect plasticity." Doctoral thesis, Università degli studi di Pavia, 2017. http://hdl.handle.net/11571/1203308.

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Fiaschi, Alice. "Quasistatic evolution problems with nonconvex energies: a Young measure approach." Phd thesis, 2008. http://tel.archives-ouvertes.fr/tel-00372629.

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Some quasistatic evolution problems for a phase transition model with nonconvex energies are studied in the generalized framework of Young measures. More in details, an existence result for a generalized notion of globally stable quasistatic evolution is proved both in the continuous and in the discrete case (infinite many/ finite many phases); an existence result for a notion of approximable evolution is also provided via a sort of vanishing viscosity.

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Book chapters on the topic "Quasistatic evolution"

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Shillor, Meir, Mircea Sofonea, and Józef Joachim Telega. "2 Evolution Equations, Contact and Friction." In Models and Analysis of Quasistatic Contact, 9–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-44643-9_2.

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Kogut, Peter I., and Günter Leugering. "On Existence of Optimal Solutions to Boundary Control Problem for an Elastic Body with Quasistatic Evolution of Damage." In Continuous and Distributed Systems, 265–86. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03146-0_19.

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Conference papers on the topic "Quasistatic evolution"

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Bhattacharya, Debdeep, Patrick Diehl, and Robert P. Lipton. "Peridynamics for Quasistatic Fracture Modeling." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-70793.

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Abstract Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the perspective of mechanics fracture should appear as an emergent phenomena generated by a continuum field theory eliminating the need for a supplemental kinetic relation describing crack growth. We develop a new fast method for modeling quasi-static fracture using peridynamics. We apply fixed point theory and model stable crack evolution for hard and soft loading. For soft loading we recover unstable fracture. For hard loading we recover stable crack growth. We show existence of quasistatic fracture solutions in the neighborhood of stable critical points for appropriately defined energies. The numerical method uses an analytic stiffness matrix for fast numerical implementation. A rigorous mathematical analysis shows that the method converges for load paths associated with soft and hard loading. For soft loading the crack becomes unstable shortly after the stress at the tip of the pre-crack reaches the material strength.

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Feng, Ping, Tao Cheng, and Xiao-Bo Peng. "Deformation evolution of superelastic NiTi shape memory alloy microtube under quasistatic combined tension and torsion: I. displacement-proportional loading." In 2015 International Conference on Mechanics and Mechatronics (ICMM2015). WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814699143_0102.

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Kosztolowicz, Tadeusz, and Katarzyna D. Lewandowska. "Application of Scaling and Quasistatic Methods to Study Nonlinear Subdiffusion-Reaction Equations With Fractional Time Derivative." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87215.

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We consider a subdiffusive system where transported particles of spieces A and B chemically react according to the formula A + B → 0̸. This process is described by the nonlinear subdiffusion-reaction equations with fractional time derivatives. We show that the scaling method, which is commonly used to study diffusion-reaction equations of natural order, is not applicable to the subdiffusion case due to the specific properties of fractional derivatives, unless very special assumptions are taken into account. Contrary to the scaling method, the quasistatic one provides the explicite solutions in the diffusion region and the time evolution of reaction front xf, which reads xf = Ktα/2, where α is the subdiffusion parameter and K is uniquely determined. We also present the numerical solutions of subdiffusion-reaction equations and show that the numerical results coincide with the analytical ones.

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Ißler, H., S. Apanasevich, J. Grohs, A. Lyakhnovich, M. Kuball, J. Steffen, and C. Klingshirn. "The Influence of Noise and of Spatio-Temporal Nonuniformity on the Evolution of Optically Nonlinear Systems." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.fa3.

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The investigation of noise induced switching processes in bistable systems is a field of active research [1] due to the omnipresence of noise in real systems. In this paper we extend the research on the influence of noise on the self oscillations of a hybrid ring resonator containing an optically nonlinear or even bistable element. The optically nonlinear element is a ZnSe interference filter showing thermally induced nonlinear refraction [2], The quasistatic input-output characteristics (IOC) of the filter in reflection and transmission depend on the initial detuning of the Fabry-Perot and by changing this parameter it is possible to obtain bistable as well as monostable but strongly nonlinear behaviour. This element is incorporated in reflection mode into a ring resonator with long round trip time compared to the thermal relaxation time of the nonlinearity. The resonator is a hybrid one consisting of a photodiode transforming the light intensity reflected by the filter into a voltage signal which is delayed electronically and fed back to an electro optical modulator controlling the light falling onto the sample.

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Liu, Zhipeng, and Jinliang Xu. "Mechanism for Formation of Highly Monodisperse Droplet in a Microfluidic T-Junction Device." In ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2007. http://dx.doi.org/10.1115/icnmm2007-30016.

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Droplet formation in a microfluidic T-junction device which is high aspect ratio rectangular channel connected by a perpendicular channel were investigated experimentally. This geometry is quite similar to the classic T-junction device, however the perpendicular channel is a slightly narrower with respect to the dispersed phase inlet, leading to remarkably different result. The perfectly controllable droplets were found to be monodispersed with a less than 2% variation in micron size. Experimental results, including the relation between diameter and flow rates, the change of the velocity and pressure at drop break-up process, had been analyzed in detail. The single breakup process and the quasistatic character were described by evolution of the width and length of the liquid-liquid interface. Finally, in contrast to the capillary instability in an unbounded fluid, the breakup process was explained in term of absolute instabilities.

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