High-fidelity Inelastic Finite Element Analysis on Parallel Computers

High-fidelity Inelastic Finite Element Analysis on Parallel Computers

Author: Yuan Feng

Publisher:

Published: 2018

Total Pages:

ISBN-13: 9780438930803

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Presented is the development of high-fidelity elastoplastic finite element simulation for earthquake soil-structure interaction problems. Part I presents the modeling and simulation systems for earthquake soil-structure interaction problems, Part II presents the high-fidelity modeling aspects of the systems, and Part III presents the high-performance aspects of the systems. Part I presents the modeling and simulation systems for earthquake soil-structure interaction (ESSI ) problems. The simulation system was named ESSI, which shares the same name with the target problem. The ESSI simulation system is based on the finite element analysis (FEA). Three features are presented as follows: (i) A domain-specific language (DSL) was extended in ESSI to facilitate the modeling of FEA. (ii) To reduce the simulation domain in an earthquake, a new interface of seismic input using wave deconvolution and domain reduction method is developed. (iii) To improve the availability of ESSI system, a remote desktop containing ESSI systems, preprocess and postprocess utilities is deployed on the cloud computing platform. The performance and cost of ESSI cloud computing services are discussed.Part II focuses on high-fidelity elastoplastic material modeling in ESSI system. To improve the earthquake-resistant design, the realistic modeling of soil stress-strain behavior plays a crucial role in the elastoplastic finite element analysis. Three features about the elastoplastic material modeling are presented as follows: (i) To simulate the realistic shear behavior unload cyclic loading, multi-surface plastic model is implemented to match the shear modulus reduction and damping properties. (ii) To represent the micro-structure of soil materials, the three-dimensional finite element formula of Cosserat elastoplasticity are developed and implemented. With the additional couple stress, researchers are able to control the free rotations on particles. The Cosserat elastoplastic models achieve mesh-independent plastic zones in the localization problems. (iii) To build trust in the developed elastoplastic materials, the constitutive algorithms are verified using prescribed solution forcing, Richardson extrapolation, and grid convergence index.Part III focuses on high-performance aspects of ESSI system, including coarse-grain parallelism and fine-grain parallelism. In coarse-grain parallelism, hardware-aware plastic domain decomposition (HAPDD) algorithm is developed for load balancing. Elastoplastic finite element simulation has two computation phases: solving elastoplastic material at Gauss points and solving systems of equations of all elements. HAPDD aims to balance the computation load of solving elastoplastic material. Metis/ParMetis and Scotch/PtScotch are used to adaptively repartition the computation graph. A parametric study is conducted to tune the partitioning kernel for the specific application code in earthquake soil-structure interaction. In fine-grain parallelism, a small tensor library is developed to accelerate the elastoplastic algorithms. While the conventional linear algebra optimizes the large-scale matrix operations, however, in elastoplastic algorithms, millions of small tensor algebra dominates the computation time. Explicit SIMD intrinsic functions are used to improve the tensor algebra performance.Based on the three parts above, the ESSI system was significantly improved in thisresearch in terms of simulation features and performance.


Parallel Finite Element Computations

Parallel Finite Element Computations

Author: B. H. V. Topping

Publisher:

Published: 1996

Total Pages: 328

ISBN-13:

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Describing the main procedures for the parallelization of the finite element method for distributed memory architectures, this book is for engineers, computer scientists and mathematicians working on the application of high performance computing to finite element methods. Its procedures are applicable to distributed memory computer architectures.


Finite Element Methods:

Finite Element Methods:

Author: Duc Thai Nguyen

Publisher: Springer Science & Business Media

Published: 2006-07-18

Total Pages: 545

ISBN-13: 0387308512

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Finite element methods (FEM), and its associated computer software have been widely accepted as one of the most effective general tools for solving large-scale, practical engineering and science applications. For implicit finite element codes, it is a well-known fact that efficient equation and eigen-solvers play critical roles in solving large-scale, practical engineering/science problems. Sparse matrix technologies have been evolved and become mature enough that all popular, commercialized FEM codes have already inserted sparse solvers into their software. However, a few FEM books have detailed discussions about Lanczos eigen-solvers, or explain domain decomposition (DD) finite element formulation (including detailed hand-calculator numerical examples) for parallel computing purposes. The materials from this book have been evolved over the past several years through the author's research work, and graduate courses.


Computational Structural Dynamics and Earthquake Engineering

Computational Structural Dynamics and Earthquake Engineering

Author: Manolis Papadrakakis

Publisher: CRC Press

Published: 2008-12-04

Total Pages: 672

ISBN-13: 020388163X

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The increasing necessity to solve complex problems in Structural Dynamics and Earthquake Engineering requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest scientific developments in Computational Dynamics, Stochastic Dynam


A Differential Quadrature Hierarchical Finite Element Method

A Differential Quadrature Hierarchical Finite Element Method

Author: Bo Liu

Publisher: World Scientific

Published: 2021-08-03

Total Pages: 651

ISBN-13: 9811236771

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The differential quadrature hierarchical finite element method (DQHFEM) was proposed by Bo Liu. This method incorporated the advantages and the latest research achievements of the hierarchical finite element method (HFEM), the differential quadrature method (DQM) and the isogeometric analysis (IGA). The DQHFEM also overcame many limitations or difficulties of the three methods.This unique compendium systemically introduces the construction of various DQHFEM elements of commonly used geometric shapes like triangle, tetrahedrons, pyramids, etc. Abundant examples are also included such as statics and dynamics, isotropic materials and composites, linear and nonlinear problems, plates as well as shells and solid structures.This useful reference text focuses largely on numerical algorithms, but also introduces some latest advances on high order mesh generation, which often has been regarded as the major bottle neck for the wide application of high order FEM.