Bellis et al 2010a - Revision history

Cinmemj: Cinmemj moved page Draft Samper 485763725 to Bellis et al 2010a

2017-10-24T12:29:46Z

Cinmemj moved page Draft Samper 485763725 to Bellis et al 2010a

Cinmemj at 11:23, 20 October 2017

2017-10-20T11:23:01Z

Cinmemj at 10:58, 20 October 2017

2017-10-20T10:58:41Z

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Cinmemj: Created page with "==1 Title, abstract and keywords== Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviation..."

2017-10-20T10:49:59Z

Created page with "==1 Title, abstract and keywords== Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviation..."

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{| style="margin: 1em auto 1em auto;border: 1pt solid black;border-collapse: collapse;"
|-
| style="text-align: center;"|Thickness
| style="text-align: center;"|3.175 mm
|-
| style="text-align: center;"|Young Modulus
| style="text-align: center;"|12.74 MPa
|-
| style="text-align: center;"|Poisson coefficient
| style="text-align: center;"|0.25
|-
| style="text-align: center;"|Density
| style="text-align: center;"|1107 kg/m<sup>3</sup>
|}
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
<span style="text-align: center; font-size: 75%;">Table 1: Material properties</span></div>

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@@ Line 6: / Line 6: @@
 stiffness and resistance degradation, damage is the fundamental ingredients which must be taken into
 account in such problems.
 Moreover, as it is well known, due to the aforementioned softening behavior, regularization techniques
 are required in order to avoid spurious mesh dependencies when a numerical solution is sought in the
@@ Line 14: / Line 15: @@
 Hence a regularization based on the imposition of the macroscopical length scale at the micro-level, in
 the framework of the fracture energy regularization, is proposed.
 However, as previously stated, many authors have pointed out the inner limits of first order computational homogenization. Such a formulation, in fact, may be adopted only if
 )the microstructure is very small with respect to the characteristic size at the macro-scale;
@@ Line 22: / Line 24: @@
 sizes; shape, size and arrangement of the constituents strongly affect the mechanical global response and
 high deformation gradients typically appear.
 An enriched formulation is then proposed in order to overcome these problems, based on the adoption
 of a Cosserat medium at the macro-level and a Cauchy medium at the micro-level. The theoretical and
@@ Line 29: / Line 32: @@
 every material point. Thus, a more sophisticated kinematic map, containing higher order polynomial
 expansions, is needed to state proper bridging conditions between the two levels.
 The innovative contribution of this work concerns the adoption of an enhanced multi-scale computational homogenization technique for studying the masonry response, together with the employment of
 damage models for the constituents description.
@@ Line 35: / Line 39: @@
 behavior, an ad hoc regularization technique has been developed at both levels in order to obtain objective numerical responses. To the knowledge of the author, no previous examples of Cosserat-Cauchy
 computational homogenization techniques, taking into account localization effects, have been presented.
 A possible objection to the use of a fully-coupled multi-scale technique could be related to the high computational efforts required, but here the use of parallel computing brings them down. In this context,
 these procedures strike a good balance between the achievement of detailed information at the scale of

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