By N. Auffray, R. Bouchet, Y. Bréchet (auth.), J.-F. Ganghoffer, Franco Pastrone (eds.)
This distinctive quantity of the sequence Lecture Notes in utilized and Computational Mechanics is a compendium of reviewed articles provided on the eleventh EUROMECH-MECAMAT convention entitled "Mechanics of microstructured solids: mobile fabrics, fibre bolstered solids and smooth tissues", which came about in Torino (Italy) in March 10-14, 2008, on the Museo nearby delle Scienze. This EUROMECH-MECAMAT convention used to be together prepared by way of the Dipartimento di Matematica dell'Universit� di Torino, Italy and the INPL Institute (LEMTA, Nancy-Université, France). The convention lined many of the mechanical and fabric elements, grouped within the following 4 classes Fibre bolstered fabrics, tender organic tissues, Generalized continua: types and fabrics, and Non-linear wave propagation.
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Extra resources for Mechanics of Microstructured Solids: Cellular Materials, Fibre Reinforced Solids and Soft Tissues
Example text
44)1 A A ϕxxx = utt − c2uxx xx , ϕttx = utt − c2 uxx tt . (47) ρ0 ρ0 Inserting the results into the balance of linear momentum (44)1 , we obtain a more general equation 28 A. Berezovski, J. A. Maugin utt = c2 uxx + C utt − c2uxx B xx − I utt − c2 uxx B tt − A2 uxx . ρ0 B (48) It is easy to see, identifying A2 = c2A Bρ0 ,C = Ic21 , B = I/p2 , that the obtained equation is nothing else but the general model of the dispersive wave propagation (6). Acknowledgements. B. ) is gratefully acknowledged.
Material Inhomogeneities in Elasticity. Chapman and Hall, London (1993) 9. : Nonlinear Waves in Elastic Crystals. Oxford University Press, Oxford (1999) 10. : Pseudo-plasticity and pseudo-inhomogeneity effects in materials mechanics. J. Elasticity 71, 81–103 (2003) 11. : On the thermomechanics of continuous media with diffusion and/or weak nonlocality. Arch. Appl. Mech. 75, 723–738 (2006) 12. : Thermodynamics with internal variables. J. Non-Equilib. Thermodyn. 19, 217–249 (1994) 13. : One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure–part 1: generic formulation.
Ganghoffer, F. ): Mech. of Microstru. Solids, LNACM 46, pp. 39–46. com 40 D. Durville or textile composite structures. Other approaches concentrate on the finite element simulation at the scale of yarns, representing yarns by means of 3D elements with appropriate constitutive laws [1]. Going down to the scale of fibers requires a description of the geometry of fibers in the initial configuration. Such a geometry is a priori unknown, and therefore needs to be computed, for example by simulating the weaving process.