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Complementary Strain Energy - Non-linearity

Submitted by ramdas chennamsetti on

Hi all!

I read that the "cmplementary starin energy of a structure is not equal to sum of the complementary strain energies of it's components, if there is non-linearity like geometric"

That means for e.g. if I consider a truss stucture subjected to loading so that it undergoes geometric non-linearity, then the sum of the complementary strain energies from members is not equal to complementary strain energy of the structure.

 I request somebody to explain why is it so??

 Thanks and regards,

- Ramdas

On the nature of the Cauchy stress tensor

Submitted by Sia Nemat-Nasser on

Checking the iMechanica web, I notice some discussion about the Cauchy stress tensor, whether it is covariant or contravariant.  Well, a tensor is neither covariant nor contravariant, while it can be expressed by its covariant, contravariant, or mixed *components* with respect to any arbitrary coordinate system. See the attached short explanation.

Symposium: Advances in smart materials and adaptive structures (Porto)

Submitted by sofla on

 

Call for papers (abstract dealine: 28 Feb, 2009): 

"Advances in smart materials and adaptive structures" symposium to be held at the third international conference on integrity, reliability and failure, IRF2009

 

July 20-24, 2009 Porto, Portugal  

 

Sponsored by the Department of Mechanical and Industrial Engineering, University of Toronto 

Please submit abstract by email to Aarash Sofla: sofla (at) mie.utoronto.ca

Look for some references about damage mechanics!

Submitted by zhenglight on

  1、Chaboche J L. Une loi diferentielle d’ endommagement de fatigue avec cumulation non linearire.Revue Francaise de Mecanique,1974, 50-51

2、Lemaitre J, Plumtree A. Application of damage concepts to predict creep-fatigue failures. Journal of engineering materials and technology. Transactions of ASME. 1979,101:284-292

3、Wang J. Low cycle fatigue and cycle dependent creep with continuum mechanics. International Journal of damage mechanics. 1992a,1(2):237-244

Computation Time for Diffusion and Mechanics Simulations

Submitted by Josh Zhou on

Can someone please give me some general comments or insights to the simulation time of mechanics and diffusion (assembly time only, i.e., computation time other than solving the linear equations)?

Same mesh is used.  Finite element method with linear elements (triangle or tetrahedra) is used for elastic deformation.  Finite difference method with trapezoidal rule and backward difference is used for diffusion of a single dopant and assembly is done node-wise.  Thanks!