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velocity potential for a rate formulation
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I have a question making me no sleep. In the elastic theory we have a separable Lagrangian L = T(v) + W(u) since we can write the internal elastic energy as a function of displacements. What happens if we use a rate form for the strain and the stress? Can we write the potential energy in terms of just velocities? If that is the case the stationary path of the Lagrangian reduces to:
d/dt (dT/dv - dW/dv) = 0
Ten commandments in systems biology
The 5th European Conference
on Complex System is holding in Dresden, Germany now. This is really
an emerging research area. The multiple para-sessions themselves show
how diverse and multi-disciplined it is. It includes:
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Complex system method
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Cognition
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Networks
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Social system
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Biological system
Fracture energy for crack propagation in a 4 points bending notched beam
Hi everyone,
Anyone can tell me how to determine the fracture energy for crack propagation in a 4 points bending notched beam (mode I)?
Musings on continuum thermodynamic formalism and (yet another) damage model
A technique for setting up generalized continuum theories based on a balance law and nonlocal thermodynamics is suggested. The methodology does not require the introduction of gradients of the internal variable in the free energy. Elements of a generalized damage model with porosity as the internal variable are developed as an example.
New perspectives in plasticity theory
A field theory of dislocation mechanics and plasticity is illustrated through new results at the nano, meso, and macro scales. Specifically, dislocation nucleation, the occurrence of wave-type response in quasi-static plasticity, and a jump condition at material interfaces and its implications for analysis of deformation localization are discussed.
Derivatives of a volume integral with singular kernel
Hi everybody,
In fact, I encounter this problem in my research and I would be grateful if someone can help. In micro mechanics, there are many problems concerning Green functions, e.g: the displacement is calculated from the distributed force in the domain, etc. Consider the following integral to determine the displacement field.
The one-million-dollar Kavli Prizes in Nanoscience, Neuroscience and Astrophysics call for nominations
The Kavli Prize – three international awards for outstanding contributions to the fields of nanoscience, neuroscience and astrophysics – will be awarded for the first time in 2008. The Kavli Foundation has established these international awards to recognize seminal advances in scientific research. Each prize will consist of a scroll, a medal and a cash award of USD 1 million.
The Prizes will be awarded at a ceremony in Oslo, Norway, Fred Kavli’s native country, every two years, beginning in 2008. http://www.kavliprize.no/