Zaghi et al 2021a - Revision history

Materiales.Compuestos at 19:54, 12 December 2022

2022-12-12T19:54:11Z

Materiales.Compuestos at 19:53, 12 December 2022

2022-12-12T19:53:31Z

Scipediacontent at 17:13, 7 May 2022

2022-05-07T17:13:24Z

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Scipediacontent: Scipediacontent moved page Draft Content 604085619 to Zaghi et al 2021a

2022-03-31T19:35:29Z

Scipediacontent moved page Draft Content 604085619 to Zaghi et al 2021a

Scipediacontent: Created page with "== Abstract == In the last decades, the improvements in terms of computational power provides the capability to analyze with more detail the materials behavior. On one hand,..."

2022-03-31T19:35:26Z

Created page with "== Abstract == In the last decades, the improvements in terms of computational power provides the capability to analyze with more detail the materials behavior. On one hand,..."

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== Abstract ==

In the last decades, the improvements in terms of computational power provides the capability to analyze with more detail the materials behavior. On one hand, going deeper in the materials to study an increasingly smaller dimension and capture micro- or nano- changes. On the other hand, the increasing computational memory allows to perform finite elements analysis with millions of nodes, that permits to obtain more accurate results.
In this scenario, the focus of this work is the numerical modeling of the microscale behavior of inhomogeneous materials, with special attention to composite materials under thermo-mechanical loading conditions. This work also proposes and implements optimization tools, at a constitutive law level, as well as the level of both, macro- and micro-structural algorithms.
The study presents two computationally efficient multiscale procedures cables of predicting the mechanical non-linear response of composite materials. This is achieved, using an RVE Data Base (DB) calculated a-priori. Through the definitions of an equivalent damage parameter (deq), function of the global stress at the microscale, a series of strain controlled virtual tests of the RVE are performed storing in the DB the homogenized stress and strain state reached at certain levels of deq. Afterwards, the solution of the macroscale structure can be solved using the interpolation of the stored data.

== Full document ==
<pdf>Media:Draft_Content_604085619native-articles-509.pdf</pdf>

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 <span style="text-align: center; font-size: 75%;">'''Figure 8.''' Reinforced composite stiffener section and RVE geometry and mesh.</span></div>
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 Below (Figure 9) are reported the sections of the elastic limit surface for d=0.01 and the stress evolution for d=0.1,0.5 for the composite. Figure 10 shows the force-displacement curves of DMTS and DMCM methods. As it can be seen, they overlap and achieve the same maximum value of force of the FM2 case.
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 In case of reinforce composite stiffener, computational effort decreases significantly using the optimization method proposed in this paper. Indeed, as we can see in Table 2, we obtain a speed-up of 4.7 and 661.2 for DMTS and DMCM method respectively. Despite of the 70 RVEs generated in the DMTS, against the 84 of the FE2, we are still having advantages using this method.
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 |  style="border: 1pt solid black;text-align: center;vertical-align: top;"|<span style="text-align: center; font-size: 75%;">661.2</span>
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 Moreover, DMCM it is clearly faster than FM2 and DMTS as well. The linear interpolation of the RVE strain history can provide a non-linear behavior of the macrostructure, able to reproduce crack initiation and propagation.

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 ==1 Introduction==
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-<span style="text-align: center; font-size: 75%;">'''Table 1.''' Mechanical properties of composite RVE.</span></div>
+<span style="text-align: center; font-size: 75%;">'''Table 1.''' Mechanical properties of composite RVE</span></div>
 Below (Figure 9) are reported the sections of the elastic limit surface for d=0.01 and the stress evolution for d=0.1,0.5 for the composite. Figure 10 shows the force-displacement curves of DMTS and DMCM methods. As it can be seen, they overlap and achieve the same maximum value of force of the FM2 case.
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 <div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
-<span style="text-align: center; font-size: 75%;">'''Table 2.''' Comparison of time and computational cost.</span></div>
+<span style="text-align: center; font-size: 75%;">'''Table 2.''' Comparison of time and computational cost</span></div>
 Moreover, DMCM it is clearly faster than FM2 and DMTS as well. The linear interpolation of the RVE strain history can provide a non-linear behavior of the macrostructure, able to reproduce crack initiation and propagation.

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