nach oben

Structural and Multidisciplinary Optimization

Erschienen in:

23.06.2017 | RESEARCH PAPER

Design of fracture resistant energy absorbing structures using elastoplastic topology optimization

verfasst von: Lei Li, Kapil Khandelwal

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 6/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

This paper introduces a novel elastoplastic topology optimization method for fracture resistant energy absorbing structural designs. The target is to find the optimal structural topologies with high plastic work absorption capacity while constraining the fracture indicators below the prescribed constraints. As the two main fracture mechanisms in ductile metals, the ductile fracture and shear fracture criteria are considered using uncoupled CrachFEM fracture model. A consistent adjoint method is presented for the path-dependent sensitivity analysis under the plane stress assumption. Several numerical examples are carried out to demonstrate the effectiveness of the proposed method. It is shown that by constraining the fracture indicators, the optimized designs have a more uniform plastic work distribution and high ductility with a significant delay of failure points. This eventually leads to much better material utilization with enhanced ultimate energy absorption capacities.

Vorheriger Artikel Matrix-free algorithm for the optimization of multidisciplinary systems

Nächster Artikel Analytical sensitivities for statistically extrapolated extreme load constraints in structural optimization

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Nur mit Berechtigung zugänglich

Alberdi R, Khandelwal K (2017) Topology optimization of pressure dependent elastoplastic energy absorbing structures with material damage constraints. Finite Elem Anal Des 133:42–61. doi:10.1016/j.finel.2017.05.004 CrossRefMathSciNet

Amir O (2013) A topology optimization procedure for reinforced concrete structures. Comput Struct 114:46–58CrossRef

Amir O (2017) Stress-constrained continuum topology optimization: a new approach based on elasto-plasticity. Struct Multidiscip Optim 55(5):1797–1818CrossRefMathSciNet

Amir O, Sigmund O (2013) Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization. Struct Multidiscip Optim 47(2):157–174CrossRefMATHMathSciNet

ANSYS (2013) ANSYS Mechanical User’s Guide (Release 15.0). ANSYS, Inc., Canonsburg

ATC (2006) FEMA-445: next-generation performance-based seismic design guidelines program plan for new and existing buildings. Redwood City

Azad SK, Topkaya C (2017) A review of research on steel eccentrically braced frames. J Constr Steel Res 128:53–73CrossRef

Bai Y, Wierzbicki T (2015) A comparative study of three groups of ductile fracture loci in the 3D space. Eng Fract Mech 135:147–167CrossRef

Bendsøe MP, Díaz AR (1998) A method for treating damage related criteria in optimal topology design of continuum structures. Struct Optim 16(2–3):108–115CrossRef

Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224CrossRefMATHMathSciNet

Bendsøe MP, Sigmund O (2003) Topology optimization: theory, methods and applications, 2nd edn. Springer Science & Business Media, Berlin

Benzerga AA, Leblond JB (2010) Ductile fracture by void growth to coalescence. Adv Appl Mech 44:169–305CrossRef

Bogomolny M, Amir O (2012) Conceptual design of reinforced concrete structures using topology optimization with elastoplastic material modeling. Int J Numer Methods Eng 90(13):1578–1597CrossRefMATH

Bruggi M (2008) On an alternative approach to stress constraints relaxation in topology optimization. Struct Multidiscip Optim 36(2):125–141CrossRefMATHMathSciNet

Bruggi M, Duysinx P (2012) Topology optimization for minimum weight with compliance and stress constraints. Struct Multidiscip Optim 46(3):369–384CrossRefMATHMathSciNet

Challis VJ, Roberts AP, Wilkins AH (2008) Fracture resistance via topology optimization. Struct Multidiscip Optim 36(3):263–271CrossRefMATHMathSciNet

Cheng G, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Multidiscip Optim 13(4):258–266CrossRef

Cheng G, Jiang Z (1992) Study on topology optimization with stress constraints. Eng Optim 20(2):129–148CrossRef

Christensen PW, Klarbring A (2008) An introduction to structural optimization, vol 153. Springer Science & Business Media, Berlin

Crisfield MA (1997) Non-linear finite element analysis of solids and structures, volume 1: essentials. Wiley, West SussexMATH

Deaton JD, Grandhi RV (2014) A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct Multidiscip Optim 49(1):1–38CrossRefMathSciNet

de Souza Neto EA, Peric D, Owen DRJ (2011) Computational methods for plasticity: theory and applications. Wiley, West Sussex

Duysinx P, Bendsøe MP (1998) Topology optimization of continuum structures with local stress constraints. Int J Numer Methods Eng 43(8):1453–1478CrossRefMATHMathSciNet

Hallquist JO (2016) LS-DYNA theory manual. Livermore Software Technology Corporation, Livermore

Hiermaier S (2007) Structures under crash and impact: continuum mechanics, discretization and experimental characterization. Springer Science & Business Media, New York

Hooputra H, Gese H, Dell H, Werner H (2004) A comprehensive failure model for crashworthiness simulation of aluminium extrusions. Int J Crashworthiness 9(5):449–464CrossRef

James KA, Waisman H (2014) Failure mitigation in optimal topology design using a coupled nonlinear continuum damage model. Comput Methods Appl Mech Eng 268:614–631CrossRefMATHMathSciNet

James KA, Waisman H (2015) Topology optimization of structures under variable loading using a damage superposition approach. Int J Numer Methods Eng 101(5):375–406CrossRefMATHMathSciNet

Jeong SH, Park SH, Choi DH, Yoon GH (2012) Topology optimization considering static failure theories for ductile and brittle materials. Comput Struct 110:116–132CrossRef

Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21(1):31–48CrossRef

Kang Z, Liu P, Li M (2017) Topology optimization considering fracture mechanics behaviors at specified locations. Struct Multidiscip Optim 55(5):1847–1864CrossRefMathSciNet

Kato J, Hoshiba H, Takase S, Terada K, Kyoya T (2015) Analytical sensitivity in topology optimization for elastoplastic composites. Struct Multidiscip Optim 52(3):507–526CrossRefMathSciNet

Khandelwal K, El-Tawil S (2014) A finite strain continuum damage model for simulating ductile fracture in steels. Eng Fract Mech 116:172–189. doi:10.1016/j.engfracmech.2013.12.009 CrossRef

Kiran R, Khandelwal K (2013) A micromechanical model for ductile fracture prediction in ASTM A992 steels. Eng Fract Mech 102:101–117. doi:10.1016/j.engfracmech.2013.02.021 CrossRef

Kiran R, Khandelwal K (2014a) Experimental studies and models for ductile fracture in ASTM A992 steels at high triaxiality. J Struct Eng 140(2):04013044. doi:10.1061/(ASCE)ST.1943-541X.0000828 CrossRef

Kiran R, Khandelwal K (2014b) A triaxiality and lode parameter dependent ductile fracture criterion. Eng Fract Mech 128:121–138. doi:10.1016/j.engfracmech.2014.07.010 CrossRef

Kiran R, Khandelwal K (2015) A coupled microvoid elongation and dilation based ductile fracture model for structural steels. Eng Fract Mech 145:15–42. doi:10.1016/j.engfracmech.2015.06.071 CrossRef

Kirsch U (1990) On singular topologies in optimum structural design. Struct Multidiscip Optim 2(3):133–142CrossRef

Le C, Norato J, Bruns T, Ha C, Tortorelli D (2010) Stress-based topology optimization for continua. Struct Multidiscip Optim 41(4):605–620CrossRef

Li L, Khandelwal K (2014) Two-point gradient-based MMA (TGMMA) algorithm for topology optimization. Comput Struct 131:34–45. doi:10.1016/j.compstruc.2013.10.010 CrossRef

Li L, Khandelwal K (2015a) An adaptive quadratic approximation for structural and topology optimization. Comput Struct 151:130–147. doi:10.1016/j.compstruc.2015.01.013 CrossRef

Li L, Khandelwal K (2015b) Volume preserving projection filters and continuation methods in topology optimization. Eng Struct 85:144–161. doi:10.1016/j.engstruct.2014.10.052 CrossRef

Li L, Guodong Z, Khandelwal K (2017a) Design of elastoplastic structures under cyclic loads using topology optimization. Struct Multidiscip Optim 1–22. doi:10.1007/s00158-017-1671-y

Li L, Zhang G, Khandelwal K (2017b) Topology optimization of energy absorbing structures with maximum damage constraint. Int J Numer Methods Eng. doi:10.1002/nme.5531

Liu P, Luo Y, Kang Z (2016) Multi-material topology optimization considering interface behavior via XFEM and level set method. Comput Methods Appl Mech Eng 308:113–133CrossRefMathSciNet

Lu G, Yu T (2003) Energy absorption of structures and materials, 1st edn. Woodhead Publishing, CambridgeCrossRef

Luo Y, Kang Z (2012) Topology optimization of continuum structures with drucker–prager yield stress constraints. Comput Struct 90:65–75CrossRef

Maute K, Schwarz S, Ramm E (1998) Adaptive topology optimization of elastoplastic structures. Struct Optim 15(2):81–91CrossRef

Michaleris P, Tortorelli DA, Vidal CA (1994) Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity. Int J Numer Methods Eng 37(14):2471–2499CrossRefMATH

Nakshatrala P, Tortorelli D (2015) Topology optimization for effective energy propagation in rate-independent elastoplastic material systems. Comput Methods Appl Mech Eng 295:305–326CrossRefMathSciNet

Schwarz S, Maute K, Ramm E (2001) Topology and shape optimization for elastoplastic structural response. Comput Methods Appl Mech Eng 190(15):2135–2155CrossRefMATH

Sigmund O, Maute K (2013) Topology optimization approaches. Struct Multidiscip Optim 48(6):1031–1055CrossRefMathSciNet

Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Multidiscip Optim 16(1):68–75CrossRef

Simo JC, Hughes TJ (1997) Computational inelasticity, vol 7. Springer, New YorkMATH

Simulia (2011) Abaqus 6.11 analysis user’s manual. Dessault Systemes, Providence

Soong T, Spencer B (2002) Supplemental energy dissipation: state-of-the-art and state-of-the-practice. Eng Struct 24(3):243–259CrossRef

Strang G (2007) Computational Science and Engineering. Wellesley-Cambridge Press, WellesleyMATH

Svanberg K (1987) The method of moving asymptotes–a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373CrossRefMATHMathSciNet

Swan CC, Kosaka I (1997) Voigt-reuss topology optimization for structures with nonlinear material behaviors. Int J Numer Methods Eng 40(20):3785–3814CrossRefMATHMathSciNet

Symans M, Charney F, Whittaker A, Constantinou M, Kircher C, Johnson M, McNamara R (2008) Energy dissipation systems for seismic applications: current practice and recent developments. J Struct Eng 134(1):3–21CrossRef

Wallin M, Jönsson V, Wingren E (2016) Topology optimization based on finite strain plasticity. Struct Multidiscip Optim 54(4):783–793CrossRefMathSciNet

Wierzbicki T, Bao Y, Lee YW, Bai Y (2005) Calibration and evaluation of seven fracture models. Int J Mech Sci 47(4):719–743CrossRef

Wilkins M, Streit R, Reaugh J (1980) Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests. Lawrence Livermore Laboratory, LivermoreCrossRef

Yang R, Chen C (1996) Stress-based topology optimization. Struct Optim 12(2):98–105. doi:10.1007/bf01196941 CrossRef

Zhang G, Li L, Khandelwal K (2017) Topology optimization of structures with anisotropic plastic materials using enhanced assumed strain elements. Struct Multidiscip Optim 55(6):1965–1988. doi:10.1007/s00158-016-1612-1 CrossRefMathSciNet

Titel: Design of fracture resistant energy absorbing structures using elastoplastic topology optimization
verfasst von: Lei Li
Kapil Khandelwal
Publikationsdatum: 23.06.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 6/2017
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-017-1735-z

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 6/2017

Novel numerical methods for reliability analysis and optimization in engineering fuzzy heat conduction problem

Multiobjective reliability-based optimization for crashworthy structures coupled with metal forming process

High dimensional model representation for hybrid reliability analysis with dependent interval variables constrained within ellipsoids

Optimisation using smoothed particle hydrodynamics with volume-based geometry control

Stress constrained thermo-elastic topology optimization with varying temperature fields via augmented topological sensitivity based level-set

Hierarchical optimization of the composite blade of a stratospheric airship propeller based on genetic algorithm

Premium Partner

Marktübersichten