Micromechanical models, for

Hounslow MJ, Mumtaz HS, Collier AP, Barrick JP, Bramley AS. A micromechanical model for the rate of aggregation during precipitation from solutions. Chem Eng Sci 2001 56 2543-2552. 

K. L. Reifsnider and Z. Gao, Micromechanics model for composites under fatigue loading. International Journal of Fatigue, 13, 2, pp. 149-156 (1991). 

Fig. 6.9. Micromechanical model for the converse flexoeffect in a nematic liquid crystal. Cross section of a field-induced fiexoelectric domain pattern in a nematic between plane-parallel electrodes, containing alternating regions of splay (S) and bend (B) of the director field. The calculated period of this pattern is inversely proportional to the electric field (c/. Fig. 6.8). (Figure reprinted with kind permission of the author and the publisher from Meyer. ° Copyright 1969 by the American Physical Society.)...

Anumandla, V. and Gibson, R. F. A comprehensive closed form micromechanics model for estimating the elastic modulus of nanotube-reinforced composites. Com Part A, 37,... 

Gillespie Jr, J.W., McCullough, R.L., Munson-McCee, S.H., Garrett, J. and Waibel, B., SMC Micromechanics model for composite materials thermoelastic properties user s guide. Report CCM 87-29, University of Delaware, Center for Composite Materials, Newark, USA, 1987. 

Huang Z. M. (2000) Unified micromechanical model for the mechanical properties of two constituent composite materials. Part I Elastic behavior. Journal of Thermoplastic Composite Materials, 13(4), 252-271. 

Papathanasiou, T.D. A structure oriented micromechanical model for viscous flow through square arrays of fibre clusters. Compos. Sci. Technol 1996, 56, 1055-1069. 

Rawal, A. (2006). A modified micromechanical model for the prediction of tensile behavior of nonwoven structures. Journal of Industrial Textiles, 36(2), 133—149. 

Jauzen J (1992) Elastic moduli of semicrystalline PE compared with theoretical micromechanical models for composites, Polym Eng Sci 32 1242-1254. 

Guan X and Pitchumani R (2004) A micromechanical model for the elastic properties of semicrystalline thermoplastic polymers, Polym Eng Sci 44 433-451. 

In this chapter, we reviewed some of the recent developments in modeling and predicting the mechanical properties of polyurethane elastomers as a function of their formulation. Based on the knowledge of the formulation and processing history, one can roughly predict the degree of the microphase separation between the hard and soft phases. That, in turn, enables the construction of constitutive micromechanical models for the calculation of elastic, viscoelastic, and nonlinear tensile and compressive properties. 

The direct use of micromechanical models for nanocomposites is however doubtfid due to the significant scale difference between nanoparticles and macro-partides. As such, two methods have recently been proposed for modeling the mechanical behavior of polymer nanocomposites equivalent continuum approach and self-similar approach. In equivalent continuum approach, molecular dynamics (MD) simulation is first used to model the molecular interaction between nanopartide and polymer. Then, a homogeneous equivalent continuum reinforcing element (i.e., an effective nanopartide) is constmcted. Finally, micro-mechanical models are used to determine the effective bulk properties of a... 

In the micromechanical model presented, like most classical micromechanics models for two component composites (Christensen 1979), we have assumed perfect interfacial adhesion and absence of physical or chemical interactions of constituents at the interface. Additionally, we assumed perfect oriented fibers in the matrix. The validity of these assumptions in our model will be one of the tasks to be undertaken for future studies on this subject. For example, we have not taken into account the fact that transesterification reaction might occur during the processing of TP/LCP blends, as well as non-perfect fiber orientation. According to the literature, transesterification reaction between the LCP and TP molecules could lead to enhanced compatibility between the polymer blend constituents. 

Zucchini A, Lourenfo PB (2002) A micromechanical model for the homogenisation of masonry. Int J Solids Struct 39(12) 3233-3255 Zucchini A, Louren o PB (2009) Validation of a micromechanical homogenisation model application to shear walls. Int J Solids Struct 46(3-4) 871-886... 

K. A., Dahmen, Y. Ben-Zio, and J. T. Uhl. Micromechanical model for deformation in solids with universal predictions for stress-strain curves and slip avalanches. Phys. Rev. Lett. 102, 175501/1-4 (2009) and references therein. 

Micromechanic Models for Short Fibers-Filled Polymer Composites... 

Nearly all micromechanics models for short-fibers filled systems consider the same basic assumptions ... 

The prediction of macromechanical strength properties of a unidirectional fiber-reinforced composite lamina using micromechanics models has met with less success than the elastic moduli predictions of the earlier sections. The structural designer will most likely rely primarily on results from mechanical tests that measure the macromechanical strength properties of the composite lamina directly. Nevertheless, it is instructive to look at the micromechanics model for tensile strength in the fiber direction of a lamina to gain a better understanding of how the composite functions. 

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