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Finite Element Analysis and Recent Developments

Introduction to Finite Element Analysis and Recent Developments... [Pg.1]

We present the major results established in the description of crazing and the recent developments in this field. Crazing has been investigated within continuum or discrete approaches (e.g., spring networks or molecular dynamics calculations to model the craze fibrils), which have provided phenomenological or physically based descriptions. Both are included in the presentation of the crazing process, since they will provide the basis for the recent cohesive surface model used to represent crazing in a finite element analysis [20-22],... [Pg.203]

Most polyphase materials have elastic moduli which lie between these two bounds, and more sophisticated models have been developed to narrow the gap. The Hashin-Shtrikman model, in particular [27], has given better predictions for the elastic modulus of a composite, while, more recently, Aboudi has used a cell model [28] and finite element analysis has also been used to derive the relationship between the volume fraction and effective modulus [29-32], These methods also estimate the displacement and stress field in the composite. [Pg.74]

The development of modeling techniques to predict the fast fracture reliability of structural ceramics involves the implementation of finite element models to statistical and fracture mechanics analysis such as the ones found in CARES. This postprocessor developed by NASA-Lewis was recently available for ANSVS and is being evaluated under this contract. Updated versions of the program will be received shortly. Finite element MOR and tension models have been generated and will be compared with experimental results. Final results will be available in later reports. [Pg.267]

Ramaswamy B, Jue TC (1992) Some recent trends and developments in finite element analysis for incompressible thermal flows. Int J Numer Meth Eng 35 675-692... [Pg.371]

If I may, I would like to advert for a moment to the recent development of non-standard analysis and sketch how infinite and infinitesimal numbers can be presented. In this I follow a beautiful expository article of Ingleton (22) though, in my haste scarcely doing him, or Luxemburg on whom he leans, full justice. Consider all infinite sequences of real numbers X (x, x, ,xn, ) and let two such entities be equivalent if they differ only in a finite number of elements i.e., X E X if x =xf for all but a finite number of n. From now on we can consider the entity X to be the equivalence class and representable by any of its members just as the rational 1/2 is the class (1/2, 2/4, 3/6,..). We... [Pg.16]

According to the DDM, the consistent FE response sensitivities are computed at each time step, after convergence is achieved for response computation. Response sensitivity calculation algorithms impact the various hierarchical layers of FE response calculation, namely (1) the structure level, (2) the element level, (3) the integration point (section for frame/truss elements) level, and (4) the material level. Details on the derivation of the DDM sensitivity equation at the structure level and at the element level for classical displacement-based finite elements, specific software implementation issues, and properties of the DDM in terms of efficiency and accuracy can be found elsewhere (Kleiber et al. 1997, Conte 2001, Conte et al. 2003, Gu Conte 2003). In this study, some newly developed algorithms and recent extensions are presented which cover relevant gaps between state-of-the-art FE response-only analysis and response sensitivity computation using the DDM. [Pg.23]

The first model proposed for approximated analysis of the left ventricle of the heart was a spherical shell (Pao, 1980a and Mirsky, 1974) which was adopted by Woods in 1892 so that the Laplace law could be applied for calculation of the wall stresses. When the biplane silhouettes can be obtained by the X-ray technique, the left ventricle has since been analyzed as axisymmetric thick-walled shells. The advances in computer-aided tomography in recent years make it possible to image and reconstruct the cross-sectional shapes of the heart (Ritman, 1983). As a result of this development, the true three-dimensional structural shape of the heart can be accurately formed by stacking of the reconstructed cross sections together. Various finite element models have been proposed (Figure 1) for the analyses of the ventricles as well as for the cardiac valves both natural and prothetic (Pao,... [Pg.76]


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