A multiphysics and multiscale approach for modeling microcracked thermo-elastic materials

Favata, Antonino; Trovalusci, Patrizia; Masiani, Renato

doi:10.1016/j.commatsci.2015.10.033

Cited by 13 publications

(10 citation statements)

References 80 publications

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“…The continuum here described, with just reference to the mechanical structure, has been proposed in [18] and developed in [31,37,30] with applications to particle/fiber reinforced polymer/ceramic matrix and masonry-like materials. Recently, the microstructure has been extended to the thermomechanical framework in [13], stemming from the ideas exposed in [11], where a simple and paradigmatic example of continua with micro-structure is exposed within the beams theory framework. An application of a two-temperatures model to rod theory can be also found in [1].…”

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confidence: 99%

“…More in general, microtemperatures have been considered in [38] and the entropy balance postulated by Green and Naghdi [16], extensively discussed in [?, 6], is used to obtain a new theory of heat for materials with inner structure. A more exhaustive reference framework on this topic is reported in [13].…”

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confidence: 99%

“…Here below a synthetic and revisited version of the developments in [13], is reported. For further details the reader is referred to the quoted article.…”

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confidence: 99%

“…The origin of this interpretation is investigated in [18] and [30]. Analogously, β is the perturbation induced on the regular macroscopic temperature field by the mean temperature jump which it would have over the actual microcrack as introduced in [13].…”

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confidence: 99%

“…Then, by assuming constitutive response functions for the mechanical and thermal interactions and in the discrete model we can obtain the effective constitutive relations of the multifield continuum in the form [13]:…”

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confidence: 99%

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Multiscale Modeling of Thermo-Elastic Properties of Microcracked Material

Favata¹,

Trovalusci²,

Masiani³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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A general framework able to describe the mechanical behavior of thermo-elastic materials with microcracks is proposed. The main features of our model come from the definition of additional kinetics descriptors, both mechanical and thermal (multifield model). The model is thermodynamically consistent and turns out to be non-local, in that it retains memory of the fine material structure through internal lengths and dispersion properties. It is shown that the multifield model allows us to reveal the presence of the microcracks through a dispersive oscillating behavior and a temperature decrease of microcracks, circumventing well known problems related to standard wave propagation and heat conduction.

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mentioning

confidence: 99%

mentioning

confidence: 99%

“…Here below a synthetic and revisited version of the developments in [13], is reported. For further details the reader is referred to the quoted article.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Multiscale Modeling of Thermo-Elastic Properties of Microcracked Material

Favata¹,

Trovalusci²,

Masiani³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements

Burlayenko

2019

Meccanica

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A three-dimensional modelling of free vibrations and static response of functionally graded material (FGM) sandwich plates is presented. Natural frequencies and associated mode shapes as well as displacements and stresses are determined by using the finite element method within the ABAQUS TM code. The three-dimensional (3-D) brick graded finite element is programmed and incorporated into the code via the user-defined material subroutine UMAT. The results of modal and static analyses are demonstrated for square metal-ceramic functionally graded simply supported plates with a power-law through-the-thickness variation of the volume fraction of the ceramic constituent. The through-the-thickness distribution of effective material properties at a point are defined based on the Mori-Tanaka scheme. First, exact values of displacements, stresses and natural frequencies available for FGM sandwich plates in the literature are used to verify the performance and estimate the accuracy of the developed 3-D graded finite element. Then, parametric studies are carried out for the frequency analysis by varying the volume fraction profile and value of the ceramic volume fraction.

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