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0.0161 Tc 4.18 0 Td
(with )Tj
0.0176 Tc 2.207 0 Td
(Gaussian )Tj
0.0028 Tc 4.178 0 Td
(pdf. )Tj
0 Tc -21.221 -2.031 Td
(\225 )Tj
0.05 Tc 9.239 0 0 9.1 43.98 185.91 Tm
(The )Tj
0.0315 Tc 9.1 0 0 9.1 62.94 185.91 Tm
(lattice )Tj
0.0032 Tc 3.013 0 Td
(model )Tj
0.0337 Tc 2.929 0 Td
(with )Tj
0.0182 Tc 2.268 0 Td
(randomized )Tj
0.0308 Tc 5.274 0 Td
(material )Tj
0.023 Tc 3.907 0 Td
(properties )Tj
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(is )Tj
0.027 Tc 1.026 0 Td
(capable )Tj
0.05 Tc 9.3131 0 0 9.1 304.92 185.91 Tm
(to )Tj
0.0252 Tc 9.1 0 0 9.1 316.33 185.91 Tm
(simulate )Tj
0.05 Tc 9.1072 0 0 9.1 352.2 185.91 Tm
(the )Tj
0.0318 Tc 9.1 0 0 9.1 43.93 175.35 Tm
(statistical )Tj
-0.0078 Tc 4.431 0 Td
(size )Tj
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(effect. )Tj
0.05 Tc 10.1434 0 0 9.8 22.17 154.71 Tm
(REFERENCES )Tj
-0.035 Tc 7.8349 0 0 9.1 26.35 140.07 Tm
([IJ )Tj
0.0199 Tc 9.1 0 0 9.1 39.22 140.07 Tm
(Baiant, )Tj
-0.035 Tc 8.833 0 0 9.1 70.19 140.07 Tm
(Z.P. )Tj
8.9316 0 0 9.1 88.12 140.07 Tm
(\(2002\). )Tj
/T1_0 1 Tf
-0.0013 Tc 8.4 0 0 8.4 116.53 140.07 Tm
(Scaling )Tj
0.05 Tc 9.518 0 0 8.4 145.26 140.07 Tm
(of )Tj
0.0185 Tc 8.4 0 0 8.4 155.41 140.07 Tm
(Structural )Tj
0.0049 Tc 4.6 0 Td
(Strength. )Tj
/T1_1 1 Tf
-0.035 Tc 9.0385 0 0 9.1 229.06 140.07 Tm
(Hermes )Tj
-0.0036 Tc 9.1 0 0 9.1 258.82 140.07 Tm
(Penton )Tj
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(Science )Tj
-0.0209 Tc 3.303 0 Td
(\(Kogan )Tj
-0.0268 Tc 3.278 0 Td
(Page )Tj
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(Science\), )Tj
-0.0261 Tc 3.785 0 Td
(London, )Tj
-0.035 Tc 9.0302 0 0 9.1 105.49 129.75 Tm
(U.K. )Tj
6.6631 0 0 9.1 26.62 112.7 Tm
([2J )Tj
0.0287 Tc 9.1 0 0 9.1 39.22 112.7 Tm
(Baiant, )Tj
-0.0326 Tc 3.456 0 Td
(Z.P. )Tj
-0.035 Tc 9.0209 0 0 9.1 89.31 112.7 Tm
(\(2004\). )Tj
-0.0286 Tc 9.1 0 0 9.1 118.53 112.7 Tm
("Scaling )Tj
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(theory )Tj
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(for )Tj
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(quasibrittle )Tj
0.0115 Tc 4.875 0 Td
(structural )Tj
-0.028 Tc 4.302 0 Td
(failure." )Tj
/T1_0 1 Tf
0.001 Tc 8.4 0 0 8.4 308.61 112.7 Tm
(Proc., )Tj
0.0217 Tc 3.001 0 Td
(National )Tj
0.024 Tc -34.994 -1.229 Td
(Academy )Tj
0.05 Tc 9.2205 0 0 8.4 74.7 102.38 Tm
(of )Tj
0.0055 Tc 8.4 0 0 8.4 84.13 102.38 Tm
(Sciences, )Tj
/T1_1 1 Tf
-0.0332 Tc 9.1 0 0 9.1 118.87 102.38 Tm
(101\(37\), )Tj
-0.035 Tc 9.0353 0 0 9.1 151.03 102.38 Tm
(13397-13399. )Tj
6.6631 0 0 9.1 26.62 85.34 Tm
([3J )Tj
-0.0311 Tc 9.1 0 0 9.1 39.21 85.34 Tm
(Ellingwood, )Tj
-0.014 Tc 5.065 0 Td
(B.R., )Tj
-0.0248 Tc 2.474 0 Td
(Galambos, )Tj
-0.0021 Tc 4.564 0 Td
(T.V., )Tj
-0.0327 Tc 2.51 0 Td
(McGregor, )Tj
-0.0017 Tc 4.614 0 Td
(J.G., )Tj
-0.0039 Tc 2.316 0 Td
(and )Tj
-0.0273 Tc 1.846 0 Td
(Cornell, )Tj
-0.0331 Tc 3.508 0 Td
(C.A. )Tj
-0.035 Tc 8.8368 0 0 9.1 304.6 85.34 Tm
(\(19S0\). )Tj
/T1_0 1 Tf
-0.0051 Tc 8.4 0 0 8.4 333.58 85.34 Tm
(Develop\255)Tj
/T1_1 1 Tf
-0.0224 Tc 9.1 0 0 9.1 39.72 75.27 Tm
(ment )Tj
/T1_0 1 Tf
0.05 Tc 9.518 0 0 8.4 60.06 75.27 Tm
(of )Tj
-0.0065 Tc 8.4 0 0 8.4 69.54 75.27 Tm
(probability )Tj
-0.035 Tc 8.5117 0 0 8.8 109.52 75.27 Tm
(based )Tj
-0.0291 Tc 8.4 0 0 8.4 130.61 75.27 Tm
(load )Tj
0.0219 Tc 2.032 0 Td
(criterion )Tj
0.05 Tc 8.5438 0 0 8.4 180.83 75.27 Tm
(for )Tj
0.0336 Tc 8.4 0 0 8.4 194.67 75.27 Tm
(American )Tj
0.0217 Tc 4.423 0 Td
(National )Tj
0.0258 Tc 3.961 0 Td
(Standard )Tj
0.0197 Tc 4.188 0 Td
(AS8. )Tj
/T1_1 1 Tf
-0.035 Tc 8.7084 0 0 9.1 319.62 75.27 Tm
(NBS )Tj
-0.0269 Tc 9.1 0 0 9.1 338.61 75.27 Tm
(Special )Tj
-0.0078 Tc -32.9 -1.134 Td
(Publication )Tj
-0.035 Tc 8.6417 0 0 9.1 83.06 64.95 Tm
(577, )Tj
8.7778 0 0 9.1 100.21 64.95 Tm
(U.S. )Tj
-0.0004 Tc 9.1 0 0 9.1 118.42 64.95 Tm
(Department )Tj
-0.0214 Tc 5.032 0 Td
(of )Tj
-0.035 Tc 9.0893 0 0 9.1 173.81 64.95 Tm
(Commerce, )Tj
-0.022 Tc 9.1 0 0 9.1 216.59 64.95 Tm
(Washington, )Tj
-0.0348 Tc 5.194 0 Td
(D.C. )Tj
-0.035 Tc 7.1859 0 0 7.4001 529.03 562.7 Tm
(ComputMionaJ )Tj
6.9268 0 0 7.4001 572.75 562.7 Tm
(P1l11icity )Tj
/T1_2 1 Tf
0 Tc 7.2 0 0 7.2 600.26 562.7 Tm
(I )Tj
/T1_1 1 Tf
-0.035 Tc 7.324 0 0 7.4001 604.39 562.7 Tm
(COMPLAS )Tj
/T1_3 1 Tf
9.1086 0 0 10 639.47 562.7 Tm
(vm )Tj
/T1_0 1 Tf
7.0945 0 0 7.2 751.46 562.94 Tm
(1S9 )Tj
/T1_1 1 Tf
7.3742 0 0 8.5 452.01 550.46 Tm
(I.S. )Tj
/T1_2 1 Tf
0.05 Tc 10.5026 0 0 7.2 463.41 550.46 Tm
(II )Tj
/T1_1 1 Tf
-0.0247 Tc 8.5 0 0 8.5 471.41 550.46 Tm
(Computational )Tj
-0.0287 Tc 5.881 0 Td
(mechanics )Tj
0.0062 Tc 4.228 0 Td
(of )Tj
-0.022 Tc 0.988 0 Td
(civil )Tj
-0.035 Tc 8.4585 0 0 8.5 582.29 550.46 Tm
(and )Tj
-0.0259 Tc 8.5 0 0 8.5 596.07 550.46 Tm
(bioengineering )Tj
-0.0298 Tc 5.898 0 Td
(materials )Tj
-0.035 Tc 8.2823 0 0 8.5 677.58 550.46 Tm
(and )Tj
-0.024 Tc 8.5 0 0 8.5 691.22 550.46 Tm
(structures )Tj
-0.035 Tc 8.2838 0 0 8.5 722.85 550.46 Tm
(... )Tj
7.0149 0 0 9.1 420.93 503.91 Tm
([4] )Tj
-0.0232 Tc 9.1 0 0 9.1 433.53 503.91 Tm
(Ellingwood, )Tj
-0.0074 Tc 4.959 0 Td
(B.R., )Tj
-0.0294 Tc 2.321 0 Td
(McGregor, )Tj
0.0049 Tc 4.482 0 Td
(J.G., )Tj
-0.0215 Tc 2.185 0 Td
(Galambos, )Tj
-0.0021 Tc 4.405 0 Td
(T.V., )Tj
-0.0171 Tc 2.373 0 Td
(and )Tj
-0.0311 Tc 1.714 0 Td
(Cornell, )Tj
-0.035 Tc 8.8566 0 0 9.1 668.21 503.91 Tm
(C.A. )Tj
8.8423 0 0 9.1 687.4 503.91 Tm
(\(1982\). )Tj
-0.0008 Tc 9.1 0 0 9.1 714.93 503.91 Tm
("Probability )Tj
-0.0125 Tc -30.916 -1.134 Td
(based )Tj
-0.0232 Tc 2.575 0 Td
(load )Tj
-0.0095 Tc 2.056 0 Td
(criteria: )Tj
-0.0297 Tc 3.565 0 Td
(Load )Tj
-0.021 Tc 2.342 0 Td
(factors )Tj
-0.0039 Tc 3.008 0 Td
(and )Tj
-0.0232 Tc 1.795 0 Td
(load )Tj
-0.0189 Tc 2.03 0 Td
(combinations." )Tj
/T1_2 1 Tf
-0.035 Tc 8.0766 0 0 9 648.78 493.59 Tm
(J. )Tj
/T1_0 1 Tf
0.05 Tc 9.2205 0 0 8.4 659.34 493.59 Tm
(of )Tj
0.0153 Tc 8.4 0 0 8.4 669.25 493.59 Tm
(Structural )Tj
-0.021 Tc 4.608 0 Td
(Engrg, )Tj
/T1_1 1 Tf
-0.0336 Tc 9.1 0 0 9.1 734.28 493.59 Tm
(ASCE, )Tj
-0.0067 Tc -32.999 -1.16 Td
(108\(ST5\),97S-997. )Tj
-0.035 Tc 7.0149 0 0 9.1 421.41 466.46 Tm
([5] )Tj
0.0243 Tc 9.1 0 0 9.1 434.26 466.46 Tm
(Baiant, )Tj
-0.0342 Tc 3.535 0 Td
(Z.P., )Tj
-0.0039 Tc 2.314 0 Td
(and )Tj
-0.0112 Tc 1.904 0 Td
(Pang, )Tj
-0.035 Tc 8.9353 0 0 9.1 529.42 466.46 Tm
(S.D. )Tj
8.9316 0 0 9.1 549.4 466.46 Tm
(\(2005\). )Tj
0 Tc 9.1 0 0 9.1 577.89 466.46 Tm
(" )Tj
-0.035 Tc 9.078 0 0 9.1 586.42 466.46 Tm
(Revision )Tj
-0.0214 Tc 9.1 0 0 9.1 620.69 466.46 Tm
(of )Tj
-0.0136 Tc 1.169 0 Td
(reliability )Tj
-0.0255 Tc 4.237 0 Td
(concepts )Tj
-0.035 Tc 8.3932 0 0 9.1 704.45 466.46 Tm
(for )Tj
0.0025 Tc 9.1 0 0 9.1 717.89 466.46 Tm
(quasibrittle )Tj
0.0079 Tc -31.204 -1.134 Td
(structures )Tj
-0.0039 Tc 4.277 0 Td
(and )Tj
-0.0342 Tc 1.71 0 Td
(size )Tj
-0.035 Tc 9.012 0 0 9.1 504.28 456.14 Tm
(effect )Tj
8.8927 0 0 9.1 525.9 456.14 Tm
(on )Tj
-0.0076 Tc 9.1 0 0 9.1 537.51 456.14 Tm
(probability )Tj
0.0016 Tc 4.578 0 Td
(distribution )Tj
-0.0214 Tc 4.932 0 Td
(of )Tj
0.0145 Tc 0.998 0 Td
(structural )Tj
0.0014 Tc 4.193 0 Td
(strength" )Tj
/T1_0 1 Tf
-0.0105 Tc 8.4 0 0 8.4 708.45 456.14 Tm
(Proc., )Tj
0.0101 Tc 2.869 0 Td
(9th )Tj
0.0219 Tc 1.646 0 Td
(Int. )Tj
0.0041 Tc -37.086 -1.229 Td
(Conf. )Tj
/T1_1 1 Tf
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(on )Tj
/T1_0 1 Tf
0.0216 Tc 8.4 0 0 8.4 469.09 445.82 Tm
(Structurol )Tj
0.0299 Tc 4.6 0 Td
(Safety )Tj
0.0258 Tc 2.967 0 Td
(and )Tj
0.0102 Tc 1.899 0 Td
(Reliability )Tj
/T1_1 1 Tf
-0.0295 Tc 9.1 0 0 9.1 588.03 445.82 Tm
(\(ICOSSAR\), )Tj
-0.035 Tc 8.9506 0 0 9.1 635.86 445.82 Tm
(Rome, )Tj
-0.0227 Tc 9.1 0 0 9.1 661.28 445.82 Tm
(Italy. )Tj
-0.035 Tc 6.7887 0 0 9.1 421.42 429.03 Tm
([6] )Tj
-0.0044 Tc 9.1 0 0 9.1 433.97 429.03 Tm
(Cusatis, )Tj
-0.0233 Tc 3.56 0 Td
(G., )Tj
0.0287 Tc 1.588 0 Td
(Baiant, )Tj
-0.0342 Tc 3.43 0 Td
(Z.P., )Tj
-0.0039 Tc 2.182 0 Td
(and )Tj
-0.0248 Tc 1.82 0 Td
(Cedolin, )Tj
-0.035 Tc 8.5636 0 0 9.1 581.37 429.03 Tm
(L. )Tj
-0.0326 Tc 9.1 0 0 9.1 592.35 429.03 Tm
(\(2003a\). )Tj
-0.0191 Tc 3.633 0 Td
("Confinement-shear )Tj
0.0008 Tc 8.08 0 Td
(lattice )Tj
-0.035 Tc 8.8755 0 0 9.1 724.68 429.03 Tm
(model )Tj
8.6084 0 0 9.1 749.33 429.03 Tm
(for )Tj
-0.0131 Tc 9.1 0 0 9.1 434.21 418.95 Tm
(concrete )Tj
-0.0181 Tc 3.587 0 Td
(damage )Tj
-0.0224 Tc 3.325 0 Td
(in )Tj
-0.0191 Tc 1.087 0 Td
(tension )Tj
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(and )Tj
-0.0294 Tc 1.741 0 Td
(compression: )Tj
-0.035 Tc 7.0852 0 0 8.8 600.86 418.95 Tm
(1. )Tj
-0.0254 Tc 9.1 0 0 9.1 608.7 418.95 Tm
(Theory." )Tj
/T1_2 1 Tf
-0.035 Tc 7.7536 0 0 8.3 643.75 418.95 Tm
(J. )Tj
/T1_0 1 Tf
0.05 Tc 8.9231 0 0 8.4 653.83 418.95 Tm
(of )Tj
-0.0153 Tc 8.4 0 0 8.4 663.32 418.95 Tm
(Engrg. )Tj
-0.0199 Tc 3.146 0 Td
(Mech. )Tj
/T1_1 1 Tf
-0.035 Tc 8.9385 0 0 9.1 713.64 418.95 Tm
(ASCE, )Tj
8.7227 0 0 9.1 740.73 418.95 Tm
(2003, )Tj
-0.0294 Tc 9.1 0 0 9.1 434.47 408.14 Tm
(129\(12\), )Tj
-0.035 Tc 9.0931 0 0 9.1 466.63 408.14 Tm
(1439-1448. )Tj
6.7887 0 0 9.1 421.9 391.59 Tm
([7] )Tj
-0.0044 Tc 9.1 0 0 9.1 434.45 391.59 Tm
(Cusatis, )Tj
-0.0233 Tc 3.56 0 Td
(G., )Tj
0.0287 Tc 1.562 0 Td
(Baiant, )Tj
-0.0342 Tc 3.43 0 Td
(Z.P., )Tj
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(and )Tj
-0.0248 Tc 1.793 0 Td
(Cedolin, )Tj
-0.035 Tc 8.2683 0 0 9.1 581.62 391.59 Tm
(L. )Tj
8.9845 0 0 9.1 592.59 391.59 Tm
(\(2003b\). )Tj
-0.0191 Tc 9.1 0 0 9.1 625.89 391.59 Tm
("Confinement-shear )Tj
0.0008 Tc 8.08 0 Td
(lattice )Tj
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(model )Tj
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(for )Tj
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(concrete )Tj
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(damage )Tj
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(in )Tj
-0.0235 Tc 1.087 0 Td
(tension )Tj
-0.0039 Tc 3.052 0 Td
(and )Tj
-0.0294 Tc 1.714 0 Td
(compression: )Tj
-0.035 Tc 6.7123 0 0 8.8 599.43 381.51 Tm
(1. )Tj
-0.0026 Tc 9.1 0 0 9.1 607.25 381.51 Tm
(Computation )Tj
-0.0039 Tc 5.486 0 Td
(and )Tj
-0.0148 Tc 1.722 0 Td
(validation." )Tj
/T1_2 1 Tf
-0.035 Tc 8.0766 0 0 8.3 717.66 381.51 Tm
(J. )Tj
/T1_0 1 Tf
0.05 Tc 8.9231 0 0 8.4 727.75 381.51 Tm
(of )Tj
-0.0267 Tc 8.4 0 0 8.4 737 381.51 Tm
(Engrg. )Tj
-0.0199 Tc -35.968 -1.315 Td
(Mech. )Tj
/T1_1 1 Tf
-0.0336 Tc 9.1 0 0 9.1 458.52 370.46 Tm
(ASCE, )Tj
-0.035 Tc 8.7227 0 0 9.1 486.09 370.46 Tm
(2003, )Tj
9.0593 0 0 9.1 507.91 370.46 Tm
(129\(12\), )Tj
9.0359 0 0 9.1 539.83 370.46 Tm
(1449-1458. )Tj
6.4482 0 0 9.1 422.15 353.91 Tm
([8J )Tj
9.0662 0 0 9.1 434.74 353.91 Tm
(Koide, )Tj
9.0459 0 0 9.1 462.1 353.91 Tm
(H., )Tj
-0.0126 Tc 9.1 0 0 9.1 477.24 353.91 Tm
(Akita, )Tj
-0.035 Tc 9.0459 0 0 9.1 503.86 353.91 Tm
(H., )Tj
-0.0171 Tc 9.1 0 0 9.1 518.69 353.91 Tm
(and )Tj
-0.0333 Tc 1.847 0 Td
(Tomon, )Tj
-0.035 Tc 8.3406 0 0 9.1 567.22 353.91 Tm
(M. )Tj
8.8423 0 0 9.1 581.32 353.91 Tm
(\(2000\). )Tj
-0.0056 Tc 9.1 0 0 9.1 610.53 353.91 Tm
("Probability )Tj
-0.035 Tc 9.0796 0 0 9.1 658.2 353.91 Tm
(model )Tj
-0.0214 Tc 9.1 0 0 9.1 683.57 353.91 Tm
(of )Tj
-0.0282 Tc 1.159 0 Td
(flexural )Tj
-0.0125 Tc 3.386 0 Td
(resistance )Tj
-0.035 Tc 8.8927 0 0 9.1 434.46 343.59 Tm
(on )Tj
-0.02 Tc 9.1 0 0 9.1 446.69 343.59 Tm
(different )Tj
-0.0125 Tc 3.667 0 Td
(lengths )Tj
-0.0214 Tc 3.216 0 Td
(of )Tj
-0.0131 Tc 1.081 0 Td
(concrete )Tj
-0.0103 Tc 3.677 0 Td
(beams", )Tj
/T1_0 1 Tf
0.0027 Tc 8.4 0 0 8.4 585.87 343.59 Tm
(Appl. )Tj
0.05 Tc 9.2205 0 0 8.4 608.46 343.59 Tm
(of )Tj
0.0178 Tc 8.4 0 0 8.4 618.85 343.59 Tm
(Stat. )Tj
0.0258 Tc 2.424 0 Td
(and )Tj
-0.0291 Tc 2.014 0 Td
(Prob. )Tj
/T1_1 1 Tf
-0.0059 Tc 9.1 0 0 9.1 678.51 343.59 Tm
(\(Proc., )Tj
0.012 Tc 3.08 0 Td
(8th )Tj
-0.0089 Tc 1.699 0 Td
(Int. )Tj
-0.0313 Tc 1.79 0 Td
(Conf., )Tj
-0.0185 Tc -33.388 -1.108 Td
(lCASP-S, )Tj
-0.0182 Tc 4.043 0 Td
(held )Tj
-0.035 Tc 8.9275 0 0 9.1 488.71 333.51 Tm
(in )Tj
9.0267 0 0 9.1 497.5 333.51 Tm
(Sydney, )Tj
-0.002 Tc 9.1 0 0 9.1 527.64 333.51 Tm
(Australia )Tj
-0.035 Tc 9.0388 0 0 9.1 562.63 333.51 Tm
(1999\), )Tj
8.7402 0 0 9.1 586.66 333.51 Tm
(R. )Tj
8.8654 0 0 9.1 596.97 333.51 Tm
(E. )Tj
9.0136 0 0 9.1 606.82 333.51 Tm
(Melchers )Tj
-0.0171 Tc 9.1 0 0 9.1 640.61 333.51 Tm
(and )Tj
-0.032 Tc 1.641 0 Td
(M.G. )Tj
-0.0032 Tc 2.28 0 Td
(Stewart, )Tj
-0.0244 Tc 3.543 0 Td
(cds., )Tj
-0.0322 Tc 2.01 0 Td
(Dalkema, )Tj
0.0022 Tc -32.07 -1.16 Td
(Rotterdam, )Tj
-0.035 Tc 7.9359 0 0 9.1 479.16 322.95 Tm
(Vo1.2, )Tj
9.0359 0 0 9.1 502.63 322.95 Tm
(1053-1057. )Tj
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