Substructuring techniques—status and projections

Noor, Ahmed K.; Kamel, H. A.; Fulton, Robert E.

doi:10.1016/0045-7949(78)90100-1

Cited by 83 publications

(11 citation statements)

References 19 publications

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“…presented in [149], the number of unknowns of the initial problem is reduced by the introduction of super-elements. In this method, each superelement represents a patch of finite elements of the initial fine mesh.…”

Section: Embedded Concurrent Multiscale Modelsmentioning

confidence: 99%

Multiscale Modeling of Concrete

Unger

Eckardt

2011

Arch Computat Methods Eng

229

103

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In this paper, a mesoscale model of concrete is presented, which considers particles, matrix material and the interfacial transition zone (ITZ) as separate constituents. Particles are represented as ellipsoides, generated according to a prescribed grading curve and placed randomly into the specimen. Algorithms are proposed to generate realistic particle configurations efficiently. The nonlinear behavior is simulated with a cohesive interface model for the ITZ. For the matrix material, different damage/plasticity models are investigated. The simulation of localization requires to regularize the solution, which is performed by using integral type nonlocal models with strain or displacement averaging. Due to the complexity of a mesoscale model for a realistic structure, a multiscale method to couple the homogeneous macroscale with the heterogeneous mesoscale model in a concurrent embedded approach is proposed. This allows an adaptive transition from a full macroscale model to a multiscale model, where only the relevant parts are resolved on a finer scale. Special emphasis is placed on the investigation of different coupling schemes between the different scales, such as the mortar method and the arlequin method, and a discussion of their advantages and disadvantages within the current context. The applicability of the proposed methodology is illustrated for a variety of examples in tension and compression.

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Section: Embedded Concurrent Multiscale Modelsmentioning

confidence: 99%

Multiscale Modeling of Concrete

Unger

Eckardt

2011

Arch Computat Methods Eng

229

103

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“…Various substructuring techniques have been developed to exploit the potential of distributed computing for structural analysis (Sorensen and Andersen, 1996;Jang and Youn, 1998). In substructuring techniques, a large-scale structure is partitioned into a number of substructures (Noor et al, 1978). Then, the structural analysis of each substructure is processed independently.…”

Section: Iterative and Direct Solution Methods On Distributed Computersmentioning

confidence: 99%

Distributed Structural Analysis of Large–Scale Structures on a Cluster of Personal Computers

Park

Sung

2002

Computer aided Civil Eng

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Recent developments in high-performance computing technologies have had a significant impact on structural analysis and design. However, most algorithms or computational strategies have been implemented on supercomputers and powerful workstations, which are beyond the reach of small organizations. In this paper, distributed computational models are presented for structural analysis of large-scale structures on a cluster of PCs based on two different levels of substructuring techniques. They are implemented on a collection of Pentium processors connected via a 10 Mbit/s Ethernet LAN. The effect of different levels and sizes of substructures on the performance of distributed implementation is investigated. The effectiveness of the algorithms is assessed by applying them to static analyses of two moment-resisting steel frames and three space truss structures. The algorithm based on multilevel substructuring allows a larger granularity of the parallel tasks, which can result in improved performance.

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“…[See, e.g., Bathe and Wilson (1976), Dodds and Lopez (1980) and Noor, Kamel, and Fulton (1977).] The literature on the use of superelement techniques is considerable, and much of it has appeared in engineering publications.…”

mentioning

confidence: 99%

6. Direct Methods for Solving Finite Element Equations

2001

Finite Element Solution of Boundary Value Problems

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Substructuring techniques—status and projections

Cited by 83 publications

References 19 publications

Multiscale Modeling of Concrete

Multiscale Modeling of Concrete

Distributed Structural Analysis of Large–Scale Structures on a Cluster of Personal Computers

6. Direct Methods for Solving Finite Element Equations

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