Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Computational Mechanics
Erschienen in: Computational Mechanics 4/2020

09.01.2020 | Original Paper

A surface-to-surface contact search method enhanced by deep learning

verfasst von: Atsuya Oishi, Genki Yagawa

Erschienen in: Computational Mechanics | Ausgabe 4/2020

Einloggen

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

search-config
loading …

Abstract

This paper describes a new surface-to-surface contact search method for contact problems between curved surfaces defined by the non-uniform rational B-spline basis functions. The method consists of a global search method based on the hierarchical virtual axis aligned bounding boxes and a local contact search method enhanced by the deep learning. The artificial neural network is employed to simulate the mapping from the parameters of contacting surface to the contact state: whether contact occurs or not, where the contact occurs and how far the slave surface penetrates to the master surface. With the proposed method, the time-consuming local contact search is successfully performed independently from the dynamic contact analysis part, where its computational efficiency is quantitatively discussed through some numerical examples.
Vorheriger Artikel Computational shape optimisation for a gradient-enhanced continuum damage model
Nächster Artikel A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites

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
Literatur
1.
Schweizerhof K, Nilsson L, Hallquist JO (1992) Crash-worthiness analysis in the automotive industry. Int J Comput Appl Technol 5:134–156
2.
3.
Zhong ZH (1993) Finite element procedures for contact-impact problems. Oxford University Press, Oxford
4.
Wriggers P (2002) Computational contact mechanics. Wiley, LondonMATH
5.
Laursen TA (2002) Computational contact and impact mechanics: fundamentals of modeling interfacial phenomena in nonlinear finite element analysis. Springer, BerlinMATH
6.
Konyukhov A, Schweizerhof K (2012) Computational contact mechanics: geometrically exact theory for arbitrary shaped bodies. Springer, BerlinMATH
7.
Hallquist JO, Goudreau GL, Benson DJ (1985) Sliding interfaces with contact-impact in large-scale Lagrangian computationa. Comput Methods Appl Mech Eng 51:107–137CrossRefMATH
8.
Benson DJ, Hallquist JO (1990) A single surface contact algorithm for the post-buckling analysis of shell structures. Comput Methods Appl Mech Eng 78:141–163CrossRefMathSciNetMATH
9.
Oldenburg M, Nilsson L (1994) The position code algorithm for contact searching. Int J Numer Methods Eng 37:359–386CrossRefMATH
10.
Zhong ZH, Nilsson L (1996) A unified contact algorithm based on the territory concept. Comput Methods Appl Mech Eng 130:1–16CrossRefMathSciNetMATH
11.
Attaway SW, Hendrickson BA, Plimpton SJ et al (1998) A parallel contact detection algorithm for transient solid dynamics simulations using PRONTO3D. Comput Mech 22:143–159CrossRefMATH
12.
Heinstein MW, Mello FJ, Attaway SW, Laursen TA (2000) Contact-impact modeling in explicit transient dynamics. Comput Methods Appl Mech Eng 187:621–640CrossRefMATH
13.
Wang SP, Nakamachi E (1997) The inside-outside contact algorithm for finite element analysis. Int J Numer Methods Eng 40:3665–3685CrossRefMathSciNetMATH
14.
Oishi A, Yamada K, Yoshimura S, Yagawa G (2002) Domain decomposition based parallel contact algorithm and its implementation to explicit finite element analysis. JSME Int J 45A(2):123–130CrossRef
15.
Belytschko T, Neal MO (1991) Contact-impact by the pinball algorithm with penalty and Lagrangian methods. Int J Numer Methods Eng 31:547–572CrossRefMATH
16.
Belytschko T, Yeh IS (1993) The splitting pinball method for contact-impact problems. Comput Methods Appl Mech Eng 105:375–393CrossRefMATH
17.
Belytschko T, Daniel WJT, Ventura G (2002) A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function. Int J Numer Methods Eng 55:101–125CrossRefMathSciNetMATH
18.
Liu WN, Meschke G, Mang HA (1999) A note on the algorithmic stabilization of 2d contact analyses. In: Gaul L, Brebbia CA (eds) Computational methods in contact mechanics IV. Wessex Institute, Southampton, pp 231–240
19.
Kikuchi N (1982) A smoothing technique for reduced integration penalty method in contact problems. Int J Numer Methods Eng 18:343–350CrossRefMathSciNetMATH
20.
Liu WN, Meschke G, Mang HA (2003) Algorithmic stabilization of FE analyses of 2D frictional contact problems with large slip. Comput Methods Appl Mech Eng 192:2099–2124CrossRefMathSciNetMATH
21.
Liu WN, Huemer T, Eberhardsteiner J, Mang HA (2002) Modified node-smoothing method of non-smooth surfaces in FE analyses of 2D contact. Comput Struct 80:2185–2193CrossRef
22.
Piegl L, Tiller W (2000) The NURBS book, 2nd edn. Springer, BerlinMATH
23.
Rogers DF (2001) An introduction to NURBS with historical perspective. Academic Press, Cambridge
24.
Wang F, Cheng J, Yao Z (2001) FFS contact searching algorithm for dynamic finite element analysis. Int J Numer Methods Eng 52:655–672CrossRefMathSciNetMATH
25.
26.
El-Abbasi N, Meguid SA, Czekanski A (2001) On the modelling of smooth contact surfaces using cubic splines. Int J Numer Methods Eng 50:953–967CrossRefMATH
27.
Wriggers P, Krstulovic-Opara L, Korelc J (2001) Smooth C1-interpolations for two-dimensional frictional contact problems. Int J Numer Methods Eng 51:1469–1495CrossRefMATH
28.
Krstulovic-Opara L, Wriggers P, Korelc J (2002) A C1-continuous formulation for 3D finite deformation frictional contact. Comput Mech 29:27–42CrossRefMathSciNetMATH
29.
Stadler M, Holzapfel GA, Korelc J (2003) Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems. Int J Numer Methods Eng 57:2177–2203CrossRefMATH
30.
Sevilla R, Fernandez-Mendez S, Huerta A (2008) NURBS-enhanced finite element method (NEFEM). Int J Numer Methods Eng 76:56–83CrossRefMathSciNetMATH
31.
Sevilla R, Fernandez-Mendez S, Huerta A (2011) 3D NURBS-enhanced finite element method (NEFEM). Int J Numer Methods Eng 88:103–125CrossRefMathSciNetMATH
32.
Hughes TJR, Cottrell JA, Bazilevs Y (2005) Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement. Comput Methods Appl Mech Eng 194:4135–4195CrossRefMathSciNetMATH
33.
34.
Chen M, Chen LP, Song QZ, Zhong YF (2003) A PNMS algorithm for contact-impact of NURBS surface objects and dynamic simulation. Comput Mech 32:143–153CrossRefMATH
35.
Lu J (2011) Isogeometric contact analysis: geometric basis and formulation for frictionless contact. Comput Methods Appl Mech Eng 200:726–741CrossRefMathSciNetMATH
36.
37.
Temizer I, Wriggers P, Hughes TJR (2011) Contact treatment in isogeometric analysis with NURBS. Comput Methods Appl Mech Eng 200:1100–1112CrossRefMathSciNetMATH
38.
Matzen ME, Cichosz T, Bischoff M (2013) A point to segment contact formulation for isogeometric, NURBS based finite elements. Comput Methods Appl Mech Eng 255:27–39CrossRefMathSciNetMATH
39.
Ericson C (2005) Real-time collision detection. Morgan Kaufmann, Burlington
40.
van den Bergen G (2004) Collision detection in interactive 3D environments. Morgan Kaufmann, Burlington
41.
Page F, Guibault F (2003) Collision detection algorithm for NURBS surfaces in interactive applications. In: Proceedings of Canadian conference on electrical and computer engineering (IEEE CCECE 2003), vol 2, pp 1417–1420
42.
Lau RWH, Chan O, Luk M, Li FWB (2002) A collision detection framework for deformable objects. In: Proceedings of the ACM symposium on virtual reality software and technology, VRST’02, pp 113–120
43.
Greß A, Guthe M, Klein R (2006) Gpu-based collision detection for deformable parameterized surfaces. Comput Graph Forum 25(3):497–506CrossRef
44.
Kim YJ, Oh YT, Yoon SH, Kim MS, Elber G (2011) Coons bvh for freeform geometric models. In: Proceedings of the 2011 SIGGRAPH Asia conference, (SA’11), pp 169:1–169:8
45.
Bishop CM (2006) Pattern recognition and machine learning. Springer, BerlinMATH
46.
Murphy KP (2012) Machine learning: a probabilistic perspective. MIT Press, CambridgeMATH
47.
Heykin S (1999) Neural networks: a comprehensive foundation. Prentice Hall, Upper Saddle River
48.
Michalewicz Z (1996) Genetic algorithms + data structures = evolution programs, vol Third, Revised and Extended Edition. Springer, BerlinMATH
49.
Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, CambridgeMATH
50.
Yagawa G, Yoshimura S, Soneda N, Nakao K (1992) Automatic two- and three-dimensional mesh generation based on fuzzy knowledge processing. Comput Mech 9:333–346CrossRefMATH
51.
Furukawa T, Yagawa G (1997) Inelastic constitutive parameter identification using an evolutionary algorithm with continuous individuals. Int J Numer Methods Eng 40:1071–1090CrossRefMATH
52.
Shim MB, Suh MW, Furukawa T, Yagawa G, Yoshimura S (2002) Pareto-based continuous evolutionary algorithms for multiobjective optimization. Eng Comput 19(1):22–48CrossRefMATH
53.
Ishihara D, Jeong MJ, Yoshimura S, Yagawa G (2002) Design window search using continuous evolutionary algorithm and clustering: its application to shape design of microelectrostatic actuator. Comput Struct 80:2469–2481CrossRef
54.
Oishi A, Yoshimura S (2008) Genetic approaches to iteration-free local contact search. Comput Model Eng Sci 28(2):127–146MathSciNetMATH
55.
Oishi A, Yamada K, Yoshimura S, Yagawa G (1995) Quantitative nondestructive evaluation with ultrasonic method using neural networks and computational mechanics. Comput Mech 15(6):521–533CrossRef
56.
Oishi A, Yamada K, Yoshimura S, Yagawa G, Nagai S, Matsuda Y (2001) Neural network-based inverse analysis for defect identification with laser ultrasonics. Res Nondestruct Eval 13:79–95CrossRef
57.
Furukawa T, Yagawa G (1998) Implicit constitutive modelling for viscoplasticity using neural networks. Int J Numer Methods Eng 43:195–219CrossRefMATH
58.
Yagawa G, Matsuda A, Kawate H (1995) Neural network approach to estimate stable crack growth in welded specimens. Int J Press Vessel Pip 63:303–313CrossRef
59.
Yoshimura S, Saito Y, Yagawa G (1996) Identification of two dissimilar surface cracks hidden in solid using neural networks and computational mechanics. Comput Model Simul Eng 1:477–491
60.
Yagawa G, Okuda H (1996) Neural networks in computational mechanics. Arch Comput Methods Eng 3(4):435–512CrossRef
61.
Okuda H, Yoshimura S, Yagawa G, Matsuda A (1998) Neural network-based parameter estimation for non-linear finite element analyses. Eng Comput 15(1):103–138CrossRefMATH
62.
Yoshimura S, Matsuda A, Yagawa G (1996) New regularization by transformation for neural network based inverse analyses and its application to structure identification. Int J Numer Methods Eng 39:3953–3968CrossRefMATH
63.
LeCun Y, Bengio Y, Hinton GE (2015) Deep learning. Nature 521:436–444CrossRef
64.
Goodfellow I, Bengio Y, Courville A (2016) Deep learning. MIT Press, CambridgeMATH
65.
Zavarise G, Wriggers P (1998) A segment-to-segment contact strategy. Math Comput Model 28(4–8):497–515CrossRefMATH
66.
Oishi A, Yoshimura S (2007) A new local contact search method using a multi-layer neural network. Comput Model Eng Sci 21(2):93–103MathSciNetMATH
67.
Funahashi K (1998) On the approximate realization of continuous mappings by neural networks. Neural Netw 2:183–192CrossRef
68.
69.
Bengio Y, Lamblin P, Popovici D, Larochelle H (2006) Greedy layer-wise training of deep networks. In: Proceedings of NIPS
70.
Le QV, Ranzato MA, Monga R, et al. (2013) Building high-level features using large scale unsupervised learning. In: Proceedings of IEEE international conference on acoustics, speech and signal processing (ICASSP), pp 8595–8598
71.
Silver D, Huang A, Maddison CJ et al (2016) Mastering the game of Go with deep neural networks and tree search. Nature 529:484–489CrossRef
72.
Oishi A, Yagawa G (2017) Computational mechanics enhanced by deep learning. Comput Methods Appl Mech Eng 327:327–351CrossRefMathSciNet
73.
Chang CC, Lin CJL (2011) LIBSVM: a library for support vector machines. ACM Trans Intell Syst Technol 2(27):1–27CrossRef
Metadaten
Titel
A surface-to-surface contact search method enhanced by deep learning
verfasst von
Atsuya Oishi
Genki Yagawa
Publikationsdatum
09.01.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2020
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-019-01811-2

Weitere Artikel der Ausgabe 4/2020

Computational Mechanics 4/2020 Zur Ausgabe

Original Paper

Thermodynamic properties and thermoelastic constitutive relation for cubic crystal structures based on improved free energy

Original Paper

A simple finite element for the geometrically exact analysis of Bernoulli–Euler rods

Original Paper

Element length calculation in B-spline meshes for complex geometries

Original Paper

A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites

Original Paper

An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS

Original Paper

Computational shape optimisation for a gradient-enhanced continuum damage model

Neuer Inhalt

    Bildnachweise