Bouziane Bouzerd 2020b - Revision history

Rimni: /* References */

2021-09-23T09:23:55Z

‎References

Rimni: /* References */

2021-09-23T09:22:04Z

‎References

Rimni at 09:11, 23 September 2021

2021-09-23T09:11:02Z

Rimni: /* 4.2 Results and discussions */

2021-09-22T13:30:35Z

‎4.2 Results and discussions

Rimni at 13:20, 22 September 2021

2021-09-22T13:20:23Z

Rimni at 13:17, 22 September 2021

2021-09-22T13:17:47Z

Rimni at 13:17, 22 September 2021

2021-09-22T13:17:04Z

Rimni: /* 4.2 Results and discussions */

2021-09-22T13:16:07Z

‎4.2 Results and discussions

Rimni: /* 4.2 Results and discussions */

2021-09-22T13:15:06Z

‎4.2 Results and discussions

Rimni at 13:07, 22 September 2021

2021-09-22T13:07:13Z

@@ Line 685: / Line 685: @@
 [17] Gao Y., Liu Z., Zeng Q., Wang T., Zhuang  Z., Hwang K-C. Theoretical and numerical prediction of crack path in the material with anisotropic fracture toughness. Engineering Fracture Mechanics, 180:330-347, 2017.
-<span id='bau010'><span id='bau015'>[18] [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Wang] X., [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Zhou], K., [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Wu] M.S. Interface cracks with surface elasticity in anisotropic bimaterials. [https://www.sciencedirect.com/science/journal/00207683 Int. J. of Solids and Structures], 59:110-120, 2015.
+<span id='bau010'><span id='bau015'>[18] Wang X., Zhou, K., Wu M.S. Interface cracks with surface elasticity in anisotropic bimaterials. Int. J. of Solids and Structures, 59:110-120, 2015.
-<span id='bau0005'><span id='bau0010'>[19] Juan [https://www.sciencedirect.com/science/article/pii/S0022509616305610 P.-A.],  [https://www.sciencedirect.com/science/article/pii/S0022509616305610 Dingreville] R.  Mechanics of finite cracks in dissimilar anisotropic elastic media considering interfacial elasticity.  [https://www.sciencedirect.com/science/journal/00225096 J. of the Mechanics and Physics of Solids], [https://www.sciencedirect.com/science/journal/00225096/99/supp/C 99]:1-18, 2017.
+<span id='bau0005'><span id='bau0010'>[19] Juan P.-A.,  Dingreville R.  Mechanics of finite cracks in dissimilar anisotropic elastic media considering interfacial elasticity.  J. of the Mechanics and Physics of Solids, 99:1-18, 2017.
 [20] Tanaka K., Oharada K., Yamada D., Shimizu K. Fatigue crack propagation in short-carbon-fiber reinforced plastics evaluated based on anisotropic fracture mechanics. Int. Journal of Fatigue, 92:415-425, 2016.

@@ Line 649: / Line 649: @@
 ==References==
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+[1] Williams M.L. The stresses around a fault or crack in dissimilar media. Bulletin of Seismology Society of America, 49:199-204, 1959.
-[2] Erdogan F. Stress distribution in nonhomogeneous elastic plane with cracks. J. appl. Mech., 30: 232-236, 1963.
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-[4] England A. H. A crack between dissimilar media. J. appl. Mech., 32: 400-402, 1965.
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-[5] Rice J. R., Sih G. C. Plane problems of cracks in dissimilar media.  J. appl. Mech., 32: 418-423, 1965.
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-[6] Hutchinson J. W., Mear M. , Rice J. R. Crack Paralleling an Interface Between Dissimilar Materials. ASME Journal of Applied Mechanics, 54: 828-832, 1987.
+[6] Hutchinson J.W., Mear M., Rice J.R. Crack paralleling an interface between dissimilar materials. ASME Journal of Applied Mechanics, 54:828-832, 1987.
-[7] Rice J. R. Elastic Fracture Mechanics Concepts for Interfacial Cracks. ASME Journal of Applied Mechanics, 55: 98-103,1988.
+[7] Rice J.R. Elastic fracture mechanics concepts for interfacial cracks. ASME Journal of Applied Mechanics, 55:98-103, 1988.
-[8] Suo Z., Hutchinson J.W. Interface crack between two elastic layers. Int J Fract., 43: 1–18, 1990.
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-[10] Clements D.L. A crack between dissimilar anisotropic media.  Int.  J.  Engng.  Sci., 9: 257–265, 1971.
+[10] Clements D.L. A crack between dissimilar anisotropic media.  Int.  J.  Engng.  Sci., 9:257–265, 1971.
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+[11] Willis J.R. Fracture mechanics of interfacial cracks. J. Mech. Phys. Solids, 19:353-368, 1971.
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+[12] Qu J., Bassani J.L. Cracks on bimaterial and bicrystal interfaces.  J. Mech. Phys. Solids, 37(4):417-433, 1989.
-[13] Suo  Z. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R.  Soc. Lond., A 427: 331-358, 1990.
+[13] Suo  Z. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R.  Soc. Lond. A, 427:331-358, 1990.
-[14] Ni L.,  Nemat-Nasser S.  Interface crack in anisotropic dissimilar materials: An analytic solution. J. Mech. Phys. Solids, 39(1): 113-144, 1991.
+[14] Ni L.,  Nemat-Nasser S.  Interface crack in anisotropic dissimilar materials: An analytic solution. J. Mech. Phys. Solids, 39(1):113-144, 1991.
-[15] Bassani J. L., Qu J. Finite crack on bimaterial and bicrystal interfaces. J. Mech. Phys. Solids, 37(4): 435-453, 1989.
+[15] Bassani J.L., Qu J. Finite crack on bimaterial and bicrystal interfaces. J. Mech. Phys. Solids, 37(4):435-453, 1989.
-[16] Qu J., Li Q. Interfacial dislocation and its applications to interface cracks in anisotropic bimaterials. J. Elasticity, 26: 169-195, 1991.
+[16] Qu J., Li Q. Interfacial dislocation and its applications to interface cracks in anisotropic bimaterials. J. Elasticity, 26:169-195, 1991.
-[17] Gao Y., Liu Z., Zeng Q., Wang T., Zhuang  Z., Hwang K-C. Theoretical and numerical prediction of crack path in the material with anisotropic fracture toughness. Engineering Fracture Mechanics, 180: 330-347, 2017.
+[17] Gao Y., Liu Z., Zeng Q., Wang T., Zhuang  Z., Hwang K-C. Theoretical and numerical prediction of crack path in the material with anisotropic fracture toughness. Engineering Fracture Mechanics, 180:330-347, 2017.
-<span id='bau010'><span id='bau015'>[18] [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Wang] X., [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Zhou], K., [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Wu] M.S. Interface cracks with surface elasticity in anisotropic bimaterials. [https://www.sciencedirect.com/science/journal/00207683 Int. J. of Solids and Structures], 59: 110-120, 2015.
+<span id='bau010'><span id='bau015'>[18] [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Wang] X., [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Zhou], K., [https://www.sciencedirect.com/science/article/pii/S0020768315000347 Wu] M.S. Interface cracks with surface elasticity in anisotropic bimaterials. [https://www.sciencedirect.com/science/journal/00207683 Int. J. of Solids and Structures], 59:110-120, 2015.
-<span id='bau0005'><span id='bau0010'>[19] Juan [https://www.sciencedirect.com/science/article/pii/S0022509616305610 P.-A.],  [https://www.sciencedirect.com/science/article/pii/S0022509616305610 Dingreville] R.  Mechanics of finite cracks in dissimilar anisotropic elastic media considering interfacial elasticity.  [https://www.sciencedirect.com/science/journal/00225096 J. of the Mechanics and Physics of Solids], [https://www.sciencedirect.com/science/journal/00225096/99/supp/C 99]: 1-18, 2017.
+<span id='bau0005'><span id='bau0010'>[19] Juan [https://www.sciencedirect.com/science/article/pii/S0022509616305610 P.-A.],  [https://www.sciencedirect.com/science/article/pii/S0022509616305610 Dingreville] R.  Mechanics of finite cracks in dissimilar anisotropic elastic media considering interfacial elasticity.  [https://www.sciencedirect.com/science/journal/00225096 J. of the Mechanics and Physics of Solids], [https://www.sciencedirect.com/science/journal/00225096/99/supp/C 99]:1-18, 2017.
-[20] Tanaka K., Oharada K., Yamada D., Shimizu K. Fatigue crack propagation in short-carbon-fiber reinforced plastics evaluated based on anisotropic fracture mechanics. Int. Journal of Fatigue, 92: 415-425, 2016.
+[20] Tanaka K., Oharada K., Yamada D., Shimizu K. Fatigue crack propagation in short-carbon-fiber reinforced plastics evaluated based on anisotropic fracture mechanics. Int. Journal of Fatigue, 92:415-425, 2016.
-[21] Banks-Sills L. and Ikeda T. Stress intensity factors for interface cracks between orthotropic and monoclinic material. Int. J. Fract., 167(1): 47-56, 2011.
+[21] Banks-Sills L., Ikeda T. Stress intensity factors for interface cracks between orthotropic and monoclinic material. Int. J. Fract., 167(1):47-56, 2011.
 [22] Bouchemella S., Bouzerd, H.,  Khaldi, N. Modélisation des interfaces fissurées des bimatériaux orthotropes. XIXème Congrès Français de Mécanique, Marseille, France, 2009.
-[23] Ghorashi S. Sh., Valizadeh  N., Mohammadi S. Extended isogeometric analysis (XIGA) for simulation of stationary and propagating cracks. Int. J. Numer. Methods Eng., 89: 1069 –1101, 2012.
+[23] Ghorashi S.Sh., Valizadeh  N., Mohammadi S. Extended isogeometric analysis (XIGA) for simulation of stationary and propagating cracks. Int. J. Numer. Methods Eng., 89:1069 –1101, 2012.
-[24] Ghorashi S. Sh., Valizadeh N., Mohammadi S. , Rabczuk T. T-spline based XIGA for fracture analysis of orthotropic media. Computers and Structures, 147: 138–146, 2015.
+[24] Ghorashi S.Sh., Valizadeh N., Mohammadi S., Rabczuk T. T-spline based XIGA for fracture analysis of orthotropic media. Computers and Structures, 147:138–146, 2015.
-[25] Habib S. H., Belaidi I., Khatir S., Abdel Wahab M.  Numerical Simulation of cracked orthotropic materials using extended isogeometric analysis.  Journal of Physics: Conf. Series 842 012061, 2017.
+[25] Habib S.H., Belaidi I., Khatir S., Abdel Wahab M.  Numerical Simulation of cracked orthotropic materials using extended isogeometric analysis.  Journal of Physics: Conf. Series, 842:012061, 2017.
-[26] Khatir S., Wahab M. A. Fast simulations for solving fracture mechanics inverse problems using POD-RBF XIGA and Jaya algorithm. Engineering Fracture Mechanics, 205: 285-300, 2019.
+[26] Khatir S., Wahab M.A. Fast simulations for solving fracture mechanics inverse problems using POD-RBF XIGA and Jaya algorithm. Engineering Fracture Mechanics, 205:285-300, 2019.
-[27] Khatir S., Wahab M. A., Benaissa B., Köppen  M. Crack identification using eXtended IsoGeometric Analysis and particle swarm optimization. In Fracture, Fatigue and Wear, pp. 210-222, Springer, Singapore, 2018.
+[27] Khatir S., Wahab M.A., Benaissa B., Köppen  M. Crack identification using eXtended IsoGeometric Analysis and particle swarm optimization. In Fracture, Fatigue and Wear, pp. 210-222, Springer, Singapore, 2018.
 [28] Bouzerd H.  Elément fini mixte pour interface cohérente ou fissurée. Thèse de doctorat, Université de Claude Bernard (Lyon I), France, 1992.
-[29] Bouziane S., Bouzerd H., Guenfoud M. Mixed finite element for modelling interfaces. European Journal of Computational Mechanics, 18(2): 155-175, 2009.
+[29] Bouziane S., Bouzerd H., Guenfoud M. Mixed finite element for modelling interfaces. European Journal of Computational Mechanics, 18(2):155-175, 2009.
-[30] Chow W. T., Beom H. G., Alturi S. N. Calculation of stress intensity factors  for an interfacial crack between dissimilar anisotropic media, using a hybrid element method and mutual integral:  Computational Mechanics, 15(6): 546-557, 1995.
+[30] Chow W.T., Beom H.G., Alturi S.N. Calculation of stress intensity factors  for an interfacial crack between dissimilar anisotropic media, using a hybrid element method and mutual integral.  Computational Mechanics, 15(6):546-557, 1995.
-[31] Qu J., Bassani  J. L. Interfacial fracture mechanics for anisotropic bimaterial.  Journal of Applied Mechanics, 60: 422-431, 1993.
+[31] Qu J., Bassani  J.L. Interfacial fracture mechanics for anisotropic bimaterial.  Journal of Applied Mechanics, 60:422-431, 1993.

@@ Line 549: / Line 549: @@
 |  03,540E-04
 |  11,67
-|-
+|-style="text-align:center"
 |  [90/90]
 |  02,200E-04
@@ Line 558: / Line 558: @@
 |  02,480E-04
 |  12,73
-|-
+|-style="text-align:center"
 |  [0/90]
 |  02,640E-04
@@ Line 585: / Line 585: @@
 |  rowspan='3' style="text-align:left;"|Isotropic
 |  <math>G_{\#2}/G_{\#1}=1</math>
-|  style="border-top: 1pt solid black;vertical-align: top;"|10,988E-04
+|  10,988E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|11,126E-04
+|  11,126E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|1,26
+|  1,26
-|  style="border-top: 1pt solid black;vertical-align: top;"|11,302E-04
+|  11,302E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|2,86
+|  2,86
-|  style="border-top: 1pt solid black;vertical-align: top;"|13,132E-04
+|  13,132E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|19,51
+|  19,51
-|-
+|-style="text-align:center"
-|  style="vertical-align: top;"|G<sub>#2</sub>/G<sub>#1</sub>=5
+|  <math>G_{\#2}/G_{\#1}=5</math>
-|  style="vertical-align: top;"|06,453E-04
+|  06,453E-04
-|  style="vertical-align: top;"|06,438E-04
+|  06,438E-04
-|  style="vertical-align: top;"|-0,23
+|  0,23
-|  style="vertical-align: top;"|06,614E-04
+|  06,614E-04
-|  style="vertical-align: top;"|2,49
+|  2,49
-|  style="vertical-align: top;"|07,649E-04
+|  07,649E-04
-|  style="vertical-align: top;"|18,53
+|  18,53
-|-
+|-style="text-align:center"
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|G<sub>#2</sub>/G<sub>#1</sub>=50
+|  <math>G_{\#2}/G_{\#1}=50</math>
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|05,353E-04
+|  05,353E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|05,297E-04
+|  05,297E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|-1,05
+|  -1,05
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|05,461E-04
+|  05,461E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|2,02
+| 2,02
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|06,287E-04
+|  06,287E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|17,45
+|  17,45
-|-
+|-style="text-align:center"
-|  rowspan='3' style="border-top: 1pt solid black;border-bottom: 1pt solid black;vertical-align: top;"|Orthotropic
+|  rowspan='3' |Orthotropic
 |  [0/0]
 |  03,170E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|[0/0]
+|  03,167 E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,170E-04
+|  -0,10
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,167 E-04
+|  03,262E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|-0,10
+|  2,90
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,262E-04
+|  03,793E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|2,90
+|  19,65
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,793E-04
+|-style="text-align:center"
-|  style="border-top: 1pt solid black;vertical-align: top;"|19,65
+|  [90/90]
-|-
+|  02,200E-04
-|  style="vertical-align: top;"|[90/90]
+|  02,168 E-04
-|  style="vertical-align: top;"|02,200E-04
+|  -1,45
-|  style="vertical-align: top;"|02,168 E-04
+|  02,216E-04
-|  style="vertical-align: top;"|-1,45
+|  0,73
-|  style="vertical-align: top;"|02,216E-04
+|  02,549E-04
-|  style="vertical-align: top;"|0,73
+|  15,86
-|  style="vertical-align: top;"|02,549E-04
+|-style="text-align:center"
-|  style="vertical-align: top;"|15,86
+|  [0/90]
-|-
+|  02,640E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|[0/90]
+|  02,617 E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|02,640E-04
+|  -0,87
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|02,617 E-04
+|  02,679E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|-0,87
+|  1,48
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|02,679E-04
+|  03,094E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|1,48
+|  17,20
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|03,094E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|17,20
 |}

@@ Line 574: / Line 574: @@
 The results show also, that the current techniques of the finite elements analysis make it possible to find an effective numerical solution and a high precision to the problems of fracture mechanic.
-<div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
+<div class="center" style="font-size: 75%;">'''Table 6'''. Energy release rate for crack along bimaterial interface, Mesh 3: 677 nodes</div>
-'''Table 6.''' Energy release rate for crack along bimaterial interface, Mesh 3: 677 nodesy</div>
-{| style="width: 100%;border-collapse: collapse;"
+<div id='tab-6'></div>
-|-
+{| class="wikitable" style="margin: 1em auto 0.1em auto;border-collapse: collapse;font-size:85%;width:auto;"
-|  rowspan='2' colspan='2'  style="border-top: 1pt solid black;vertical-align: top;"|'''Material'''
+|-style="text-align:center"
-|  rowspan='2' style="border-top: 1pt solid black;vertical-align: top;"|'''Exact solution'''
+!  rowspan='2' colspan='2' | Material !! rowspan='2' |Exact solution !! colspan='2' |RMQ-7 element !!  colspan='2' | Mutual integral !!  colspan='2' | Extrapolation technique
-|  colspan='2'  style="border-top: 1pt solid black;vertical-align: top;"|'''RMQ-7 element'''
+|-style="text-align:center"
-|  colspan='2'  style="border-top: 1pt solid black;vertical-align: top;"|'''Mutual integral'''
+!  677 nodes !! Error % !! 679 nodes !! Error % !! 679 nodes !! Error %
-|  colspan='2'  style="border-top: 1pt solid black;vertical-align: top;"|'''Extrapolation technique'''
+|-style="text-align:center"
-|-
+|  rowspan='3' style="text-align:left;"|Isotropic
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|677 nodes
+|  <math>G_{\#2}/G_{\#1}=1</math>
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|Error %
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|679 nodes
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|Error %
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|679 nodes
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|Error %
-|-
-|  rowspan='3' style="border-top: 1pt solid black;vertical-align: top;"|Isotropic
-|  style="border-top: 1pt solid black;vertical-align: top;"|G<sub>#2</sub>/G<sub>#1</sub>=1
 |  style="border-top: 1pt solid black;vertical-align: top;"|10,988E-04
 |  style="border-top: 1pt solid black;vertical-align: top;"|11,126E-04

@@ Line 523: / Line 523: @@
 |-style="text-align:center"
 | <math>G_{\#2}/G_{\#1}=5</math>
-|  style="vertical-align: top;"|06,453E-04
+|  06,453E-04
-|  style="vertical-align: top;"|06,486E-04
+|  06,486E-04
-|  style="vertical-align: top;"|0,51
+|  0,51
-|  colspan='2'  style="vertical-align: top;"|06,592E-04
+|  06,592E-04
-|  style="vertical-align: top;"|2,15
+|  2,15
-|  style="vertical-align: top;"|07,326E-04
+|  07,326E-04
-|  style="vertical-align: top;"|13,53
+|  13,53
 |-style="text-align:center"
 |  <math>G_{\#2}/G_{\#1}=50</math>
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|05,353E-04
+|  05,353E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|05,278E-04
+|  05,278E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|-1,40
+|  -1,40
-|  colspan='2'  style="border-bottom: 1pt solid black;vertical-align: top;"|05,444E-04
+|  05,444E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|1,70
+|  1,70
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|06,026E-04
+|  06,026E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|12,57
+|  12,57
 |-style="text-align:center"
 |  rowspan='3' |Orthotropic
-|  style="border-top: 1pt solid black;vertical-align: top;"|[0/0]
+|  [0/0]
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,170E-04
+|  03,170E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,237E-04
+|  03,237E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|2,11
+|  2,11
-|  colspan='2'  style="border-top: 1pt solid black;vertical-align: top;"|03,247E-04
+|  03,247E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|2,43
+|  2,43
-|  style="border-top: 1pt solid black;vertical-align: top;"|03,540E-04
+|  03,540E-04
-|  style="border-top: 1pt solid black;vertical-align: top;"|11,67
+|  11,67
 |-
-|  style="vertical-align: top;"|[90/90]
+|  [90/90]
-|  style="vertical-align: top;"|02,200E-04
+|  02,200E-04
-|  style="vertical-align: top;"|02,293E-04
+|  02,293E-04
-|  style="vertical-align: top;"|4,23
+|  4,23
-|  colspan='2'  style="vertical-align: top;"|02,221E-04
+|  02,221E-04
-|  style="vertical-align: top;"|0,95
+|  0,95
-|  style="vertical-align: top;"|02,480E-04
+|  02,480E-04
-|  style="vertical-align: top;"|12,73
+|  12,73
 |-
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|[0/90]
+|  [0/90]
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|02,640E-04
+|  02,640E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|02,764E-04
+|  02,764E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|4,70
+|  4,70
-|  colspan='2'  style="border-bottom: 1pt solid black;vertical-align: top;"|02,675E-04
+|  02,675E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|1,33
+|  1,33
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|03,021E-04
+|  03,021E-04
-|  style="border-bottom: 1pt solid black;vertical-align: top;"|14,43
+|  14,43
 |}

@@ Line 508: / Line 508: @@
 {| class="wikitable" style="margin: 1em auto 0.1em auto;border-collapse: collapse;font-size:85%;width:auto;"
 |-style="text-align:center"
-!  rowspan='2' colspan='2' | Material !! Exact solution !! rowspan='2' |RMQ-7 element !!  colspan='2' | Mutual integral !!  colspan='2' | Extrapolation technique
+!  rowspan='2' colspan='2' | Material !! Exact solution !! colspan='2' |RMQ-7 element !!  colspan='2' | Mutual integral !!  colspan='2' | Extrapolation technique
 |-style="text-align:center"
 !  237 nodes !! Error % !! 237 nodes !! Error % !! 237 nodes !! Error %