Computational mechanics deformation

The simple treatment provided above captures the most essential aspects of the response of elastomers to mechanical deformation. Building a more profound understanding of the subtler aspects of elastomeric behavior requires detailed (and computationally intensive) numerical simulations, as illustrated for example in the recent work of Grest et al [146]. 

Li S, Xu B and Duan Y. 2(X31b. Flow through fissured reservoir with deformable media. Chinese J. of Computational Mechanics, 18(2), pp. 133-137. 

Hon X, Hu H, Silberschmidt W. A study of computational mechanics of 3D spacer fabric factors affecting its compression deformation. J Mater Sci 2012 47(9) 3989. 

A sophisticated computer-controlled support system keeps the mirror segments in the desired position. The finishing of the off-axis aspheric segments is performed by stressed mirror polishing, a newly developed process for which the initially round meniscus-shaped blanks of 1.9 m diameter are mechanically deformed in such a way that a desired aspheric surface results after the stress is relieved. 

Generally, the computational effort increases when going from the macroscale over the mesoscale up to the microscale. If real sensor or actuator apphcations are of interest, in most cases mesoscopic or macroscopic modeling is predestined. In order to understand the physicochemical mechanisms underlying the conversion, i.e., the mechanical deformation, the theoretical and experimental facts behind the swelling process have to be investigated. 

Svizhenko, A., Mehrez, H., Anantram, A. M. R, Maiti, A. (2005). Sensing mechanical deformation in carbon nanotubes by electrical response a computational study. Proceedings ofSPIE, 5593, 416-428. 

The development of numerical methods and computational power has allowed an accurate three-dimensional analysis of bearing operation. Such factors as thermal and mechanical deformations, turbulence, thermal effects and others can now be accounted for in bearing models. A comprehensive review on this subject is given in [4,5]. 

The lone remaining aspect of this topic that requires additional discussion is the fact that the mechanical threshold stress evolution is path-dependent. The fact that (df/dy)o in (7.41) is a function of y means that computations of material behavior must follow the actual high-rate deformational path to obtain the material strength f. This becomes a practical problem only in dealing with shock-wave compression. 

The above models consider only one spatial variable which is the bonding distance. It is clear that, for a molecule anything more complex than diatomic, many parameters are needed to define even approximately the potential energy surface. The enormous advances in computational chemistry during the last few years have allowed quantum mechanical calculations on fairly large size molecules. The first attempt to apply quantum mechanics on deformed polymer chains was made... 

The comparison between experimental and predicted intensity (Fig. 10.3) reveals deviations between theory and experimental data already at relatively low uniaxial deformation. A reasonable explanation is an increase of lattice distortions by local tensions which modify the envelope and thus the total intensity. Theoretical computation of mechanical anisotropy in a bcc-lattice supports the explanation [265],... 

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