Biomechanical Models for Soft Tissue Simulation by Walter Maurel, Yin Wu, Nadia Magnenat Thalmann, Daniel

By Walter Maurel, Yin Wu, Nadia Magnenat Thalmann, Daniel Thalmann

Numerous experiments pronounced within the biomechanical literature have proven that tender tissues are hugely nonlinear viscoelastic fabrics. makes an attempt to version their mechanical behaviour have resulted in other kinds of mathematical relationships looking on the method followed. using those versions for the life like simulation of skeletal tender tissues calls for simple wisdom of the idea of nonlinear mechanics in addition to wisdom of the linked incremental finite aspect tools. even supposing many files were released in those diversified parts, few of them provide adequate info to appreciate how the versions are concerning the underlying mechanical idea and the way incremental tools are utilized to accomplish finite aspect simulations.
This file has been constructed, as a part of the eu Esprit venture attraction, to supply an outline of the on hand versions in gentle of theoretical mechanics and finite point tools, for the lifelike simulation of the human muscle mass, tendons and skin.

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Leyden: Nordhoff J. -L. Chaboche (1990), Mechanics of solid Lemaitre 90 materials (originally published in French as Mecanique des materiaux solides by Dunod, Paris, 1985 and cop. Bordas, Paris, 1985) transl. by B. Shrivastava. J. K. J. E. R. M. M. H. England (1994), Non-linear Elasticity and Theoretical Mechanics: In Honour of A. E. Green. T. M. Steele (1989), Finite Elements of Non-linear Oden 89 Continua. W. Ogden (1984), Non-linear Elastic Deformations. C. Pipkin (1986), Large Deformations with Small Strains, in Lectures on Viscoelasticity Theory, App.

C and E allow the calculation of the length variation of any segment dX known in the reference configuration, whereas c and e allow the calculation of the length variation of any segment dx known in the current configuration (Mal91). Strain-Displacement Relationship. 1) of any point of the continuum is unknown configurations (Mal 91). 19) u=x-X is the displacement vector of a point P of Q between both. : du = ~ auidX. : E = au 1 1_ ~(auk ) n ax 1 + 2£... 24) 2 E - au2 + l_ auk ) 22 - ax2 2 k ax2 2 E = au 3 1_ ~ ( auk ) 33 ax 3 + 2 £....

8 8) which relates the true stress

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