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  • Engineering  (4)
  • Granular Materials  (3)
  • Interdisciplinary physics  (3)
  • 1
    Electronic Resource
    Electronic Resource
    Parallel adaptive multigrid methods in plane linear elasticity problems (1997)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 4 (1997), S. 153-176 
    Details
    ISSN: 1070-5325
    Keywords: multigrid ; unstructured grids ; adaptive local grid refinement ; MIMD computer ; dynamic load balancing ; linear elasticity ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: In this paper we discuss the implementation of parallel multigrid methods on unstructured locally refined meshes for 2D linear elasticity calculations. The problem of rebalancing the workload of the processors during execution of the program is discussed in detail and a load balancing algorithm suited for hierarchical meshes is proposed. For large problems the efficiency per multigrid iteration ranges from 65% on 64 processors in the locally refined case to 85% on 256 processors in the uniformly refined case. All calculations were carried out on a CRAY T3D machine. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 2
    Electronic Resource
    Electronic Resource
    Towards automatic adaptive geometrically non-linear shell analysis. Part I: Implementation of an h-adaptive mesh refinement procedure (1994)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 37 (1994), S. 2657-2678 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Effective methods leading to automated adaptive numerical solutions to geometrically non-linear shell-type problems are studied in this work. In particular, procedures for improving the accuracy, the reliability and the computational efficiency of the finite element solutions are of primary interest here. This is addressed using h-adaptive mesh refinement based on a posteriori error estimation, self-adaptive methods in global incremental/iterative processes, as well as smart algorithms and heuristic approaches based on methods of knowledge engineering. Seemless integration of h-adaptive finite element methods with adaptive step-length control makes it possible to maintain a prescribed accuracy while maintaining the solution efficiency without user intervention throughout the process of a non-linear analysis. Several examples illustrate the merit and potential of the approach studied herein and confirm the feasibility of developing an automatic adaptive environment for geometrically non-linear analysis of shell structures.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620371509
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  • 3
    Electronic Resource
    Electronic Resource
    Error estimation based on Superconvergent Patch Recovery using statically admissible stress fields (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 42 (1998), S. 443-472 
    Details
    ISSN: 0029-5981
    Keywords: finite element method ; error estimation ; stress recovery ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper we investigate an approach for a posteriori error estimation based on recovery of an improved stress field. The qualitative properties of the recovered stress field necessary to obtain a conservative error estimator, i.e. an upper bound on the true error, are given. A specific procedure for recovery of an improved stress field is then developed. The procedure can be classified as Superconvergent Patch Recovery (SPR) enhanced with approximate satisfaction of the interior equilibrium and the natural boundary conditions. Herein the interior equilibrium is satisfied a priori within each nodal patch. Compared to the original SPR-method, which usually underestimates the true error, the present approach gives a more conservative estimate. The performance of the developed error estimator is illustrated by investigating two plane strain problems with known closed-form solutions. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 18 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 4
    Electronic Resource
    Electronic Resource
    Probabilistic foundation stability analysis (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 279-296 
    Details
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A probabilistic model for stability analysis of a deepwater gravity-based platform foundation is defined, based on theory for wave loading in conjunction with conventional slip surface considerations. The model accounts for uncertainties in loading as well as in soil properties, and model uncertainties are also considered. The model is updated through in-service measurements of some of the governing variables, and measurement uncertainties are included. The practical application of the model is illustrated by presentation of calculations for a typical foundation. Probability calculations are performed by first-order reliability methods.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nag.1610140404
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  • 5
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    Numerical approach to frictional fingers (2015)
    American Physical Society (APS)
    Details
    Publication Date: 2015-09-29
    Description: Author(s): Jon Alm Eriksen, Renaud Toussaint, Knut Jørgen Måløy, Eirik Flekkøy, and Bjørnar Sandnes Experiments on confined two-phase flow systems, involving air and a dense suspension, have revealed a diverse set of flow morphologies. As the air displaces the suspension, the beads that make up the suspension can accumulate along the interface. The dynamics can generate “frictional fingers” of air… [Phys. Rev. E 92, 032203] Published Mon Sep 28, 2015
    Keywords: Granular Materials
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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  • 6
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    Local dynamics of a randomly pinned crack front during creep and forced propagation: An experimental study (2011)
    American Physical Society (APS)
    Details
    Publication Date: 2011-04-15
    Description: Author(s): Ken Tore Tallakstad, Renaud Toussaint, Stephane Santucci, Jean Schmittbuhl, and Knut Jørgen Måløy We have studied the propagation of a crack front along the heterogeneous weak plane of a transparent poly(methyl methacrylate) (PMMA) block using two different loading conditions: imposed constant velocity and creep relaxation. We have focused on the intermittent local dynamics of the fracture front... [Phys. Rev. E 83, 046108] Published Thu Apr 14, 2011
    Keywords: Interdisciplinary physics
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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  • 7
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    Average crack-front velocity during subcritical fracture propagation in a heterogeneous medium (2011)
    American Physical Society (APS)
    Details
    Publication Date: 2011-09-10
    Description: Author(s): Olivier Lengliné, Renaud Toussaint, Jean Schmittbuhl, Jean E. Elkhoury, J. P. Ampuero, Ken Tore Tallakstad, Stéphane Santucci, and Knut Jørgen Måløy We study the average velocity of crack fronts during stable interfacial fracture experiments in a heterogeneous quasibrittle material under constant loading rates and during long relaxation tests. The transparency of the material (polymethylmethacrylate) allows continuous tracking of the front posit... [Phys. Rev. E 84, 036104] Published Fri Sep 09, 2011
    Keywords: Interdisciplinary physics
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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  • 8
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    Onset of localization in heterogeneous interfacial failure (2012)
    American Physical Society (APS)
    Details
    Publication Date: 2012-08-11
    Description: Author(s): Arne Stormo, Knut Skogstrand Gjerden, and Alex Hansen We study numerically the failure of an interface joining two elastic materials under load using a fiber bundle model connected to an elastic half space. We find that the breakdown process follows the equal load sharing fiber bundle model without any detectable spatial correlations between the positi... [Phys. Rev. E 86, 025101] Published Fri Aug 10, 2012
    Keywords: Interdisciplinary physics
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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  • 9
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    Pneumatic fractures in confined granular media (2017)
    American Physical Society (APS)
    Details
    Publication Date: 2017-06-13
    Description: Author(s): Fredrik K. Eriksen, Renaud Toussaint, Antoine L. Turquet, Knut J. Måløy, and Eirik G. Flekkøy We perform experiments where air is injected at a constant overpressure P in , ranging from 5 to 250 kPa, into a dry granular medium confined within a horizontal linear Hele-Shaw cell. The setup allows us to explore compacted configurations by preventing decompaction at the outer boundary, i.e., the c… [Phys. Rev. E 95, 062901] Published Mon Jun 12, 2017
    Keywords: Granular Materials
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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  • 10
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    Pressure evolution and deformation of confined granular media during pneumatic fracturing (2018)
    American Physical Society (APS)
    Details
    Publication Date: 2018-01-19
    Description: Author(s): Fredrik K. Eriksen, Renaud Toussaint, Antoine Léo Turquet, Knut J. Måløy, and Eirik G. Flekkøy By means of digital image correlation, we experimentally characterize the deformation of a dry granular medium confined inside a Hele-Shaw cell due to air injection at a constant overpressure high enough to deform it (from 50 to 250 kPa). Air injection at these overpressures leads to the formation o... [Phys. Rev. E 97, 012908] Published Thu Jan 18, 2018
    Keywords: Granular Materials
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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