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2015 | OriginalPaper | Buchkapitel

Reliability-Based Shape Design Optimization of Structures Subjected to Fatigue

verfasst von : Manolis Georgioudakis, Nikos D. Lagaros, Manolis Papadrakakis

Erschienen in: Engineering and Applied Sciences Optimization

Verlag: Springer International Publishing

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Abstract

Fatigue has been played a key role into the design process of structures, since many failures of them are attributed to repeated loading and unloading conditions. Crack growth due to fatigue, represents a critical issue for the integrity and resistance of structures and several numerical methods mainly based on fracture mechanics have been proposed in order to address this issue. Apart from loading, the shape of the structures is directly attributed to their service life. In this study, the extended finite element is integrated into a shape design optimization framework aiming to improve the service life of structural components subject to fatigue. The relation between the geometry of the structural component with the service life is also examined. This investigation is extended into a probabilistic design framework considering both material properties and crack tip initialization as random variables. The applicability and potential of the formulations presented are demonstrated with a characteristic numerical example. It is shown that with proper shape changes, the service life of structural component can be enhanced significantly. Comparisons with optimized shapes found for targeted service life are also addressed, while the choice of initial imperfection position and orientation was found to have a significant effect on the optimal shapes.

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Literatur
1.
Zurück zum Zitat Aguirre AH, Rionda SB, Coello Coello CA, Lizárraga GL, Montes EM (2004) Handling constraints using multiobjective optimization concepts. Int J Numer Methods Eng 59(15):1989–2017 Aguirre AH, Rionda SB, Coello Coello CA, Lizárraga GL, Montes EM (2004) Handling constraints using multiobjective optimization concepts. Int J Numer Methods Eng 59(15):1989–2017
2.
Zurück zum Zitat Anderson TL (2004) Fracture mechanics: fundamentals and applications, 3rd edn. CRC Press, Boca Raton Anderson TL (2004) Fracture mechanics: fundamentals and applications, 3rd edn. CRC Press, Boca Raton
3.
Zurück zum Zitat Babuška I, Melenk JM (1997) The partition of unity method. Int J Numer Methods Eng 40(4):727–758CrossRefMATH Babuška I, Melenk JM (1997) The partition of unity method. Int J Numer Methods Eng 40(4):727–758CrossRefMATH
4.
Zurück zum Zitat Bletzinger KU, Ramm E (2001) Structural optimization and form finding of light weight structures. Comput Struct 79(22–25):2053–2062CrossRef Bletzinger KU, Ramm E (2001) Structural optimization and form finding of light weight structures. Comput Struct 79(22–25):2053–2062CrossRef
5.
Zurück zum Zitat Bureerat S, Limtragool J (2008) Structural topology optimisation using simulated annealing with multiresolution design variables. Finite Elem Anal Des 44(12–13):738–747CrossRef Bureerat S, Limtragool J (2008) Structural topology optimisation using simulated annealing with multiresolution design variables. Finite Elem Anal Des 44(12–13):738–747CrossRef
6.
Zurück zum Zitat Chen S, Tortorelli DA (1997) Three-dimensional shape optimization with variational geometry. Struct Optim 13(2–3):81–94CrossRefMATH Chen S, Tortorelli DA (1997) Three-dimensional shape optimization with variational geometry. Struct Optim 13(2–3):81–94CrossRefMATH
7.
Zurück zum Zitat Chen TY, Chen HC (2009) Mixed-discrete structural optimization using a rank-niche evolution strategy. Eng Optim 41(1):39–58CrossRef Chen TY, Chen HC (2009) Mixed-discrete structural optimization using a rank-niche evolution strategy. Eng Optim 41(1):39–58CrossRef
8.
Zurück zum Zitat Coelho RF (2004) Multicriteria optimization with expert rules for mechanical design. Ph.D. Thesis, Universite Libre de Bruxelles, Faculte des Sciences Appliquees, Belgium Coelho RF (2004) Multicriteria optimization with expert rules for mechanical design. Ph.D. Thesis, Universite Libre de Bruxelles, Faculte des Sciences Appliquees, Belgium
9.
Zurück zum Zitat Das S, Suganthan P (2011) Differential evolution: a survey of the state-of-the-art. IEEE Trans Evolut Comput 15(1):4–31CrossRef Das S, Suganthan P (2011) Differential evolution: a survey of the state-of-the-art. IEEE Trans Evolut Comput 15(1):4–31CrossRef
10.
Zurück zum Zitat Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186(2–4):311–338CrossRefMATH Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186(2–4):311–338CrossRefMATH
11.
Zurück zum Zitat Degertekin SO (2012) Improved harmony search algorithms for sizing optimization of truss structures. Comput Struct 92–93:229–241CrossRef Degertekin SO (2012) Improved harmony search algorithms for sizing optimization of truss structures. Comput Struct 92–93:229–241CrossRef
12.
13.
Zurück zum Zitat Edke MS, Chang KH (2010) Shape sensitivity analysis for 2D mixed mode fractures using extended FEM (XFEM) and level set method (LSM). Mech Based Des Struct Mach 38(3):328–347 Edke MS, Chang KH (2010) Shape sensitivity analysis for 2D mixed mode fractures using extended FEM (XFEM) and level set method (LSM). Mech Based Des Struct Mach 38(3):328–347
14.
Zurück zum Zitat Edke MS, Chang KH (2011) Shape optimization for 2-d mixed-mode fracture using extended FEM (XFEM) and level set method (LSM). Struct Multidiscip Optim 44(2):165–181CrossRef Edke MS, Chang KH (2011) Shape optimization for 2-d mixed-mode fracture using extended FEM (XFEM) and level set method (LSM). Struct Multidiscip Optim 44(2):165–181CrossRef
15.
Zurück zum Zitat Ellingwood B, Galambos TV (1982) Probability-based criteria for structural design. Struct Saf 1(1):15–26CrossRef Ellingwood B, Galambos TV (1982) Probability-based criteria for structural design. Struct Saf 1(1):15–26CrossRef
16.
Zurück zum Zitat Ellingwood B, Galambos T, MacGregor J, Cornell C (1980) Development of a probability based load criterion for American National Standard A58: building code requirements for minimum design loads in buildings and other structures. U.S, Department of Commerce, National Bureau of Standards, Washington, DC Ellingwood B, Galambos T, MacGregor J, Cornell C (1980) Development of a probability based load criterion for American National Standard A58: building code requirements for minimum design loads in buildings and other structures. U.S, Department of Commerce, National Bureau of Standards, Washington, DC
17.
Zurück zum Zitat Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Fluids Eng 85(4):519–525 Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Fluids Eng 85(4):519–525
18.
Zurück zum Zitat Farhat F, Nakamura S, Takahashi K (2009) Application of genetic algorithm to optimization of buckling restrained braces for seismic upgrading of existing structures. Comput Struct 87(1–2):110–119 Farhat F, Nakamura S, Takahashi K (2009) Application of genetic algorithm to optimization of buckling restrained braces for seismic upgrading of existing structures. Comput Struct 87(1–2):110–119
19.
Zurück zum Zitat Fogel D (1992) Evolving artificial intelligence. Ph.D. Thesis, University of California, San Diego Fogel D (1992) Evolving artificial intelligence. Ph.D. Thesis, University of California, San Diego
20.
Zurück zum Zitat Gandomi AH, Alavi AH (2012) Krill herd: a new bio-inspired optimization algorithm. Commun Nonlinear Sci Numer Simul 17(12):4831–4845CrossRefMATHMathSciNet Gandomi AH, Alavi AH (2012) Krill herd: a new bio-inspired optimization algorithm. Commun Nonlinear Sci Numer Simul 17(12):4831–4845CrossRefMATHMathSciNet
21.
Zurück zum Zitat Gandomi AH, Yang XS (2011) Benchmark problems in structural optimization. In: Koziel S, Yang XS (eds) Computational optimization, methods and algorithms, no. 356 in studies in computational intelligence. Springer, Berlin Heidelberg, pp 259–281 Gandomi AH, Yang XS (2011) Benchmark problems in structural optimization. In: Koziel S, Yang XS (eds) Computational optimization, methods and algorithms, no. 356 in studies in computational intelligence. Springer, Berlin Heidelberg, pp 259–281
22.
Zurück zum Zitat Gandomi AH, Yang XS, Alavi AH (2013) Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng Comput 29(1):17–35CrossRefMathSciNet Gandomi AH, Yang XS, Alavi AH (2013) Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng Comput 29(1):17–35CrossRefMathSciNet
23.
Zurück zum Zitat Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68CrossRef Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68CrossRef
24.
Zurück zum Zitat Georgioudakis M (2014) Stochastic analysis and optimum design of structures subjected to fracture. Ph.D. Thesis, School of Civil Engineering, National Technical University of Athens (NTUA) Georgioudakis M (2014) Stochastic analysis and optimum design of structures subjected to fracture. Ph.D. Thesis, School of Civil Engineering, National Technical University of Athens (NTUA)
25.
Zurück zum Zitat Gholizadeh S, Salajegheh E (2009) Optimal design of structures subjected to time history loading by swarm intelligence and an advanced metamodel. Comput Methods Appl Mech Eng 198(37–40):2936–2949CrossRefMATH Gholizadeh S, Salajegheh E (2009) Optimal design of structures subjected to time history loading by swarm intelligence and an advanced metamodel. Comput Methods Appl Mech Eng 198(37–40):2936–2949CrossRefMATH
26.
Zurück zum Zitat Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning, 1st edn. Addison-Wesley Longman Publishing Co., Inc., BostonMATH Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning, 1st edn. Addison-Wesley Longman Publishing Co., Inc., BostonMATH
27.
Zurück zum Zitat Haddad OB, Afshar A, Mariño MA (2006) Honey-bees mating optimization (HBMO) algorithm: a new heuristic approach for water resources optimization. Water Resour Manage 20(5):661–680CrossRef Haddad OB, Afshar A, Mariño MA (2006) Honey-bees mating optimization (HBMO) algorithm: a new heuristic approach for water resources optimization. Water Resour Manage 20(5):661–680CrossRef
28.
29.
Zurück zum Zitat Hansen LU, Häusler SM, Horst P (2008) Evolutionary multicriteria design optimization of integrally stiffened airframe structures. J Aircr 45(6):1881–1889CrossRef Hansen LU, Häusler SM, Horst P (2008) Evolutionary multicriteria design optimization of integrally stiffened airframe structures. J Aircr 45(6):1881–1889CrossRef
30.
Zurück zum Zitat Hansen N, Ostermeier A (2001) Completely derandomized self-adaptation in evolution strategies. Evolut Comput 9(2):159–195CrossRef Hansen N, Ostermeier A (2001) Completely derandomized self-adaptation in evolution strategies. Evolut Comput 9(2):159–195CrossRef
31.
Zurück zum Zitat Hasançebi O (2008) Adaptive evolution strategies in structural optimization: enhancing their computational performance with applications to large-scale structures. Comput Struct 86(1–2):119–132 Hasançebi O (2008) Adaptive evolution strategies in structural optimization: enhancing their computational performance with applications to large-scale structures. Comput Struct 86(1–2):119–132
32.
Zurück zum Zitat Hasançebi O, Çarbaş S, Doğan E, Erdal F, Saka MP (2010) Comparison of non-deterministic search techniques in the optimum design of real size steel frames. Comput Struct 88(17–18):1033–1048 Hasançebi O, Çarbaş S, Doğan E, Erdal F, Saka MP (2010) Comparison of non-deterministic search techniques in the optimum design of real size steel frames. Comput Struct 88(17–18):1033–1048
33.
Zurück zum Zitat Hock W, Schittkowski K (1980) Test examples for nonlinear programming codes. J Optim Theory Appl 30(1):127–129CrossRefMATH Hock W, Schittkowski K (1980) Test examples for nonlinear programming codes. J Optim Theory Appl 30(1):127–129CrossRefMATH
34.
Zurück zum Zitat Holland JH (1975) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. University of Michigan Press, Holland Holland JH (1975) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. University of Michigan Press, Holland
35.
Zurück zum Zitat Igel C, Hansen N, Roth S (2007) Covariance matrix adaptation for multi-objective optimization. Evolut Comput 15(1):1–28CrossRef Igel C, Hansen N, Roth S (2007) Covariance matrix adaptation for multi-objective optimization. Evolut Comput 15(1):1–28CrossRef
36.
Zurück zum Zitat Kaveh A, Shahrouzi M (2008) Dynamic selective pressure using hybrid evolutionary and ant system strategies for structural optimization. Int J Numer Methods Eng 73(4):544–563CrossRefMATHMathSciNet Kaveh A, Shahrouzi M (2008) Dynamic selective pressure using hybrid evolutionary and ant system strategies for structural optimization. Int J Numer Methods Eng 73(4):544–563CrossRefMATHMathSciNet
37.
Zurück zum Zitat Kennedy J, Eberhart R (1995) Particle swarm optimization. IEEE Int Conf Neural Netw 4:1942–1948 Kennedy J, Eberhart R (1995) Particle swarm optimization. IEEE Int Conf Neural Netw 4:1942–1948
39.
Zurück zum Zitat Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, CambridgeMATH Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, CambridgeMATH
40.
Zurück zum Zitat Kripakaran P, Hall B, Gupta A (2011) A genetic algorithm for design of moment-resisting steel frames. Struct Multidiscip Optim 44(4):559–574CrossRef Kripakaran P, Hall B, Gupta A (2011) A genetic algorithm for design of moment-resisting steel frames. Struct Multidiscip Optim 44(4):559–574CrossRef
41.
Zurück zum Zitat Kunakote T, Bureerat S (2011) Multi-objective topology optimization using evolutionary algorithms. Eng Optim 43(5):541–557CrossRefMathSciNet Kunakote T, Bureerat S (2011) Multi-objective topology optimization using evolutionary algorithms. Eng Optim 43(5):541–557CrossRefMathSciNet
42.
Zurück zum Zitat Lagaros ND (2014) A general purpose real-world structural design optimization computing platform. Struct Multidiscip Optim 49(6):1047–1066CrossRef Lagaros ND (2014) A general purpose real-world structural design optimization computing platform. Struct Multidiscip Optim 49(6):1047–1066CrossRef
43.
Zurück zum Zitat Lagaros ND, Karlaftis MG (2011) A critical assessment of metaheuristics for scheduling emergency infrastructure inspections. Swarm Evolut Comput 1(3):147–163CrossRef Lagaros ND, Karlaftis MG (2011) A critical assessment of metaheuristics for scheduling emergency infrastructure inspections. Swarm Evolut Comput 1(3):147–163CrossRef
44.
Zurück zum Zitat Lagaros ND, Papadrakakis M (2012) Applied soft computing for optimum design of structures. Struct Multidiscip Optim 45(6):787–799CrossRefMATH Lagaros ND, Papadrakakis M (2012) Applied soft computing for optimum design of structures. Struct Multidiscip Optim 45(6):787–799CrossRefMATH
45.
Zurück zum Zitat Lagaros ND, Fragiadakis M, Papadrakakis M (2004) Optimum design of shell structures with stiffening beams. AIAA J 42(1):175–184CrossRef Lagaros ND, Fragiadakis M, Papadrakakis M (2004) Optimum design of shell structures with stiffening beams. AIAA J 42(1):175–184CrossRef
46.
Zurück zum Zitat Li L, Wang MY, Wei P (2012) XFEM schemes for level set based structural optimization. Front Mech Eng 7(4):335–356CrossRef Li L, Wang MY, Wei P (2012) XFEM schemes for level set based structural optimization. Front Mech Eng 7(4):335–356CrossRef
47.
Zurück zum Zitat Manan A, Vio GA, Harmin MY, Cooper JE (2010) Optimization of aeroelastic composite structures using evolutionary algorithms. Eng Optim 42(2):171–184CrossRef Manan A, Vio GA, Harmin MY, Cooper JE (2010) Optimization of aeroelastic composite structures using evolutionary algorithms. Eng Optim 42(2):171–184CrossRef
48.
Zurück zum Zitat Martínez FJ, González-Vidosa F, Hospitaler A, Alcalá J (2011) Design of tall bridge piers by ant colony optimization. Eng Struct 33(8):2320–2329CrossRef Martínez FJ, González-Vidosa F, Hospitaler A, Alcalá J (2011) Design of tall bridge piers by ant colony optimization. Eng Struct 33(8):2320–2329CrossRef
49.
Zurück zum Zitat McKay MD, Beckman RJ, Conover WJ (2000) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 42(1):55–61CrossRef McKay MD, Beckman RJ, Conover WJ (2000) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 42(1):55–61CrossRef
50.
Zurück zum Zitat Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46(1):131–150CrossRefMATH Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46(1):131–150CrossRefMATH
51.
Zurück zum Zitat Muc A, Muc-Wierzgoń M (2012) An evolution strategy in structural optimization problems for plates and shells. Compos Struct 94(4):1461–1470CrossRef Muc A, Muc-Wierzgoń M (2012) An evolution strategy in structural optimization problems for plates and shells. Compos Struct 94(4):1461–1470CrossRef
52.
Zurück zum Zitat Osher S, Sethian JA (1988) Fronts propagating with curvature dependent speed: algorithms based on hamilton-jacobi formulations. J Comput Phys 79(1):12–49CrossRefMATHMathSciNet Osher S, Sethian JA (1988) Fronts propagating with curvature dependent speed: algorithms based on hamilton-jacobi formulations. J Comput Phys 79(1):12–49CrossRefMATHMathSciNet
53.
Zurück zum Zitat Paris P, Gomez M, Anderson W (1961) A rational analytic theory of fatigue. Trend Eng 13:9–14 Paris P, Gomez M, Anderson W (1961) A rational analytic theory of fatigue. Trend Eng 13:9–14
54.
Zurück zum Zitat Perez RE, Behdinan K (2007) Particle swarm approach for structural design optimization. Comput Struct 85(19–20):1579–1588CrossRef Perez RE, Behdinan K (2007) Particle swarm approach for structural design optimization. Comput Struct 85(19–20):1579–1588CrossRef
55.
Zurück zum Zitat Rechenberg I (1973) Evolutionstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. Frommann-Holzboog, Stuttgart-Bad Cannstatt Rechenberg I (1973) Evolutionstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. Frommann-Holzboog, Stuttgart-Bad Cannstatt
56.
Zurück zum Zitat Rice JR (1968) A path independent integral and the approximate analysis of strain concentrations by notches and cracks. J Appl Mech 35:379–386CrossRef Rice JR (1968) A path independent integral and the approximate analysis of strain concentrations by notches and cracks. J Appl Mech 35:379–386CrossRef
57.
Zurück zum Zitat Riche RL, Haftka RT (2012) On global optimization articles in SMO. Struct Multidiscip Optim 46(5):627–629CrossRef Riche RL, Haftka RT (2012) On global optimization articles in SMO. Struct Multidiscip Optim 46(5):627–629CrossRef
58.
Zurück zum Zitat Schuëller GI (2006) Developments in stochastic structural mechanics. Arch Appl Mech 75(10–12):755–773 Schuëller GI (2006) Developments in stochastic structural mechanics. Arch Appl Mech 75(10–12):755–773
59.
Zurück zum Zitat Schwefel HP (1981) Numerical optimization of computer models. Wiley, Chichester, New YorkMATH Schwefel HP (1981) Numerical optimization of computer models. Wiley, Chichester, New YorkMATH
60.
Zurück zum Zitat Sienz J, Hinton E (1997) Reliable structural optimization with error estimation, adaptivity and robust sensitivity analysis. Comput Struct 64(1–4):31–63CrossRefMATH Sienz J, Hinton E (1997) Reliable structural optimization with error estimation, adaptivity and robust sensitivity analysis. Comput Struct 64(1–4):31–63CrossRefMATH
61.
Zurück zum Zitat Stolarska M, Chopp DL, Moës N, Belytschko T (2001) Modelling crack growth by level sets in the extended finite element method. Int J Numer Methods Eng 51(8):943–960CrossRefMATH Stolarska M, Chopp DL, Moës N, Belytschko T (2001) Modelling crack growth by level sets in the extended finite element method. Int J Numer Methods Eng 51(8):943–960CrossRefMATH
62.
Zurück zum Zitat Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359CrossRefMATHMathSciNet Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359CrossRefMATHMathSciNet
63.
Zurück zum Zitat Su R, Wang X, Gui L, Fan Z (2011) Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy. Struct Multidiscip Optim 43(2):275–286 Su R, Wang X, Gui L, Fan Z (2011) Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy. Struct Multidiscip Optim 43(2):275–286
64.
Zurück zum Zitat Su Y, Wang SN, Du YE (2013) Optimization algorithm of crack initial angle using the extended finite element method. Appl Mech Mater 444–445:77–84CrossRef Su Y, Wang SN, Du YE (2013) Optimization algorithm of crack initial angle using the extended finite element method. Appl Mech Mater 444–445:77–84CrossRef
65.
Zurück zum Zitat Wang Q, Fang H, Zou XK (2010) Application of micro-GA for optimal cost base isolation design of bridges subject to transient earthquake loads. Struct Multidiscip Optim 41(5):765–777 Wang Q, Fang H, Zou XK (2010) Application of micro-GA for optimal cost base isolation design of bridges subject to transient earthquake loads. Struct Multidiscip Optim 41(5):765–777
66.
Zurück zum Zitat Yang XS (2010) Nature-inspired metaheuristic algorithms, 2nd edn. Luniver Press, Bristol Yang XS (2010) Nature-inspired metaheuristic algorithms, 2nd edn. Luniver Press, Bristol
67.
Zurück zum Zitat Yang XS, Deb S (2010) Engineering optimisation by cuckoo search. Int J Math Modell Numer Optim 1(4):330–343MATH Yang XS, Deb S (2010) Engineering optimisation by cuckoo search. Int J Math Modell Numer Optim 1(4):330–343MATH
68.
Zurück zum Zitat Yang XS, Gandomi AH (2012) Bat algorithm: a novel approach for global engineering optimization. Eng Comput 29(5):464–483CrossRef Yang XS, Gandomi AH (2012) Bat algorithm: a novel approach for global engineering optimization. Eng Comput 29(5):464–483CrossRef
69.
Zurück zum Zitat Yang XS, Koziel S (2011) Computational optimization and applications in engineering and industry. Springer, New YorkCrossRef Yang XS, Koziel S (2011) Computational optimization and applications in engineering and industry. Springer, New YorkCrossRef
70.
Zurück zum Zitat Yau JF, Wang SS, Corten HT (1980) A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. J Appl Mech 47(2):335–341CrossRefMATH Yau JF, Wang SS, Corten HT (1980) A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. J Appl Mech 47(2):335–341CrossRefMATH
Metadaten
Titel
Reliability-Based Shape Design Optimization of Structures Subjected to Fatigue
verfasst von
Manolis Georgioudakis
Nikos D. Lagaros
Manolis Papadrakakis
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-18320-6_24

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