1,721,037 research outputs found
Marginal material stability
No full text1 online resource (PDF, 62 pages, includes illustrations)Grabovsky, Yury; Truskinovsky, Lev. (2012). Marginal material stability. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/181209
A mechanical perspective on vertebral segmentation
No full textSegmentation is a characteristic feature of the vertebrate body plan. The prevailing paradigm explaining its origin is the ‘clock and wave-front’ model, which assumes that the
interaction of a molecular oscillator (clock) with a traveling gradient of morphogens (wave)
pre-defines spatial periodicity. While many genes potentially responsible for these processes have been identified, the precise role of molecular oscillations and the mechanism
leading to physical separation of the somites remain elusive. In this paper we argue that
the periodicity along the embryonic body axis anticipating somitogenesis is controlled
by mechanical rather than bio-chemical signaling. Using a prototypical model we show
that regular patterning can result from a mechanical instability induced by differential
strains developing between the segmenting mesoderm and the surrounding tissues. The
main ingredients of the model are the assumptions that cell–cell adhesions soften when
overstretched, and that there is an internal length scale defining the cohesive properties
of the mesoderm. The proposed mechanism generates a robust number of segments without dependence on genetic oscillation
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Thermodynamische Materialtheorien
Full text linkThe meeting was focused on research in the broad field of thermodynamic constitutive theories. It provided a contact between physicists, engineers and mathematicians, whose talks led to lively and interesting discussions. The debate concentrated on the physical motivation of the models subjected to mathematical analysis
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Material Theories
Full text linkThe subject of this meeting was mathematical modeling of strongly interacting multi-particle systems that can be interpreted as advanced materials. The main emphasis was placed on contributions attempting to bridge the gap between discrete and continuum approaches, focusing on the multi-scale nature of physical phenomena and bringing new and nontrivial mathematics. The mathematical debates concentrated on nonlinear PDE, stochastic dynamical systems, optimal transportation, calculus of variations and large deviations theory
Origin of scale-free intermittency in structural first-order phase transitions
Full text linkAcknowledgments FJPR acknowledges the financial support from the Carnegie Trust. LT acknowledges the financial support from the french ANR grant EVOCRIT.Peer reviewe
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Material Theories
Full text linkThe workshop reviewed classical and recent trends in the modeling of material behavior using a wide spectrum of mathematical tools (stochastic processes, calculus of variations, pde’s). Among the topic covered, the following figured prominently: biology and biophysics, mechanics of nanostuctures, crystal plasticity, self-organized criticality, non equilibrium statistical mechanics, quantum mechanics, wetting phenomena, electronic transport in semiconductors, dislocation mechanics, kinetic theory, bucking in structural mechanics
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Material Theories
Full text linkThis biennial workshop brings together mathematicians, mechanicians and theoretical physicists interested in developing new mathematical models of complex materials, medias and systems. The workshop covers a wide range of topics from nonequilibrium statistical mechanics and dynamical systems to calculus of variations and nonlinear functional analysis. A particular focus of this meeting was on continuum description of biological systems, pattern formation, granular media, plasticity and turbulence
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Material Theories
Full text linkMaterial theories is a series of workshops concerned with a broad range of topics related to the mechanics and mathematics of materials. As such, this edition brought together researchers from diverse fields converging toward the interaction between mathematics, mechanics, and material science
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