Hybrid materials based description

The past nearly six decades have seen a chronological progression in molecular sieve materials from the aluminosilicate zeolites to microporous silica polymorphs, microporous aluminophosphate-based polymorphs, metallosilicate and metaHo-phosphate compositions, octahedral-tetrahedral frameworks, mesoporous molecular sieves and most recently hybrid metal organic frameworks (MOFs). A brief discussion of the historical progression is reviewed here. For a more detailed description prior to 2001 the reader is referred to [1]. The robustness of the field is evident from the fact that publications and patents are steadily increasing each year. 

As it can be inferred from this description, the solution of Eq. 49 leads to additional computations to help ensure that the stress-strain relationship is maintained according to the nonlinear constitutive model of choice. This requires the use of implicit solution schemes, as opposed to the explicit approach used in the elastic and viscoelastic problems. This additional effort explains why considering the material s plastic behavior in physics-based ground-motion simulations in 3D has often been ignored or simplified using hybrid and indirect approaches. Future developments, however, are likely to revert this... 

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