Dear All,
the solution of an elastic half space subjected to any generalized load may be seen as the solution of another elastic problem, that is elastic space with an infinite length hole when the hole radius goes to infinite.
Is there a "general" solution for that elastic problem? For general I mean a solution that can be used e.g. like a kernel in a convolution operation.
Professor Y. C. Fung, Professor Emeritus of Bioengineering at UC San Diego's Jacobs School of Engineering, is the recipient of the Fritz J. and Dolores H. Russ Prize of 2007.
The Russ Prize is presented biannually to an outstanding candidate in the field of bioengineering who has made significant contributions to improving the human condition through research, development, teaching, or management. The recipient receives a $500,000 cash award and an engraved gold medallion.
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
Dear all,
Infinity asked me for posting more information about one of our papers. It was published in 2006 in Rubber Chemistry and Technology and proposes a comparison and a ranking of 20 different hyperelastic constitutive models for rubber (from the Mooney model (1940) to the micro-sphere model (2004)) in the incompressible case.
Marckmann G. et Verron E., Comparison of hyperelastic models for rubberlike materials, Rubber Chemistry and Technology, 79(5), 835-858, 2006.
I am happy to recommend the following book for your general reading.
Ranganath, G.S., ``Mysterious Motions and other Intriguing Phenomena in Physics," Hyderabad, India: Universities Press (2001)
It is well known that the algebra associated with edge dislocations can be forbidding. As Prof. Frank (of the Frank-Read source fame) noted once,
an interesting puzzle for fun:
Lame’s classical solution for an elastic 2D plate, with a hole of radius a and uniform tensile stress applied at the far field, gives a stress concentration factor (SCF) of two at the edge of the hole. This SCF=2 is independent of the hole radius.
Consider what happened to this concentration factor if the radius a approaches infinitely small. The SCF is independent of a, so it remains equal to two even when the hole disappears.
A free surface in a multi-layer can experience an undulation due to surface diffusion during fabrication or etching process. In order to analyze the undulation, the elasticity solution for the undulating film is needed. Considering the undulation as a perturbation of a flat surface, a boundary value problem for 2D elasticity is formulated. The solution procedure is straightforward, but very lengthy especially for a multi-layer.
