Caicedo et al 2017b - Revision history

Cinmemj: Cinmemj moved page Caicedo et al 2017a to Caicedo et al 2017b

2018-03-06T14:14:46Z

Cinmemj moved page Caicedo et al 2017a to Caicedo et al 2017b

Cinmemj: Cinmemj moved page Draft Samper 355780031 to Caicedo et al 2017a

2018-03-06T14:14:31Z

Cinmemj moved page Draft Samper 355780031 to Caicedo et al 2017a

Cinmemj at 14:11, 6 March 2018

2018-03-06T14:11:55Z

Cinmemj at 13:58, 6 March 2018

2018-03-06T13:58:44Z

Cinmemj at 08:14, 6 March 2018

2018-03-06T08:14:30Z

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Cinmemj: Created page with " =Abstract= This work focuses on the numerical modeling of fracture and its propagation in heterogeneous materials by means of hi..."

2018-02-16T14:11:15Z

Created page with " =Abstract= This work focuses on the numerical modeling of fracture and its propagation in heterogeneous materials by means of hi..."

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@@ Line 3,552: / Line 3,552: @@
 =Appendix=
-=5 Related Articles=
+=Related Articles=
-==5.1 <span id='lb-5.1'></span>Paper \#1==
+==A.1 <span id='lb-5.1'></span>Paper \#1==
 '''Title:''' High-performance model reduction techniques in computational multiscale homogenization.
@@ Line 3,584: / Line 3,584: @@
 <pdf>Media:draft_Samper_355780031-monograph-JHOrtega_et_al.pdf</pdf>
-==5.2 <span id='lb-5.2'></span>Paper \#2==
+==A.2 <span id='lb-5.2'></span>Paper \#2==
 '''Title:''' Continuum approach to computational multiscale modeling of propagting fracture.
@@ Line 3,614: / Line 3,614: @@
 <pdf>Media:draft_Samper_355780031-monograph-MultiFailure.pdf</pdf>
-==5.3 <span id='lb-5.3'></span>Paper \#3==
+==A.3 <span id='lb-5.3'></span>Paper \#3==
 '''Title:''' Reduced Order Modeling strategies for Computational Multiscale Fracture.
@@ Line 3,640: / Line 3,640: @@
 <pdf>Media:draft_Samper_355780031-monograph-ROM_fracture.pdf</pdf>
-==5.4 <span id='lb-5.4'></span>Paper \#4==
+==A.4 <span id='lb-5.4'></span>Paper \#4==
 '''Title:''' Dimensional hyper-reduction of nonlinear finite element models via empirical cubature.
@@ Line 3,662: / Line 3,662: @@
 <pdf>Media:draft_Samper_355780031-monograph-CMAME-S-16-00480.pdf</pdf>
-==5.5 <span id='lb-5.5'></span>Paper \#5==
+==A.5 <span id='lb-5.5'></span>Paper \#5==
 '''Title:''' Continuum Approach to Computational Multi-Scale Modeling of Fracture.
@@ Line 3,692: / Line 3,692: @@
 <pdf>Media:draft_Samper_355780031-monograph-KEM_627_349.pdf</pdf>
-==5.6 <span id='lb-5.6'></span>Paper \#6==
+==A.6 <span id='lb-5.6'></span>Paper \#6==
 '''Title:''' Model Order Reduction in computational multiscale fracture mechanics.
@@ Line 3,720: / Line 3,720: @@
 <pdf>Media:draft_Samper_355780031-monograph-KEM_713_248.pdf</pdf>
-==5.7 Chapter in Book==
+==A.7 Chapter in Book==
 '''Title:''' Multi-scale (FE<math display="inline">^2</math>) analysis of material failure in cement/aggregate-type composite structures

@@ Line 1,290: / Line 1,290: @@
 -->
 ==3.1 General Framework==
@@ Line 1,446: / Line 1,445: @@
 -->
 <span id="fn-14"></span>
 <span style="text-align: center; font-size: 75%;">([[#fnc-14|<sup>1</sup>]]) In general, <math>\mathcal{\tilde V}^{h}_{\mu }</math> cannot be precisely determined, such a task will require  finite element analyses of the cell under ''all conceivable'' strain paths. Rather, one has to be content to construct an ''approximation'' of it.</span>
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 -->
 After some additional manipulations, the corresponding set of orthonormal basis is obtained as:
@@ Line 1,697: / Line 1,694: @@
 |}
 |}
 <!-- iffalse
@@ Line 1,730: / Line 1,726: @@
 -->
 The optimality conditions for the problem above yield:
@@ Line 1,789: / Line 1,784: @@
 -->
 <span id="fn-19"></span>
 <span style="text-align: center; font-size: 75%;">([[#fnc-19|<sup>1</sup>]]) See: '''Sec.4 Paper <math>\# </math>3'''</span>
@@ Line 2,041: / Line 2,035: @@
 -->
 Attention is then focused on reducing the computational cost arisen by the use of a classical Gauss quadrature for the numerical integration of the optimality  conditions (Eqs. [[#eq-3.22|3.22]] and [[#eq-3.23|3.23]]).
@@ Line 2,556: / Line 2,549: @@
 -->
 ==3.4 Numerical assessment and approximation errors==

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