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Applied mechanics Reviews 1985年第10期38卷 1282-1283页

作者： Needleman, A. Division of Engineering Brown University Providence RI 02912 United States

computational methods play a key role in solid mechanics, as a way of modelling fundamental aspects of mechanical behavior, as a vehicle for transferring this improved modelling capability into new engineering tools, and as a means of utilizing these tools in engineering practice. Modern computational methods enable realistic models of mechanical systems to be formulated without regard as to whether or not analytical solutions are feasible. Increased computational capability is also an incentive for developing more accurate theories, since it becomes possible to use such theories to solve complex engineering problems. © 1985 American Society of Mechanical Engineers.

关键词： computational methods Vehicles Modeling Engineering instruments computational mechanics Mechanical behavior Solid mechanics

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Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid

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COMPUTER METHODS IN APPLIED mechanics AND ENGINEERING 2025年 435卷

作者： Sarkar, Subhankar Chakraborty, Souvik Indian Inst Technol Delhi Yardi Sch Artificial Intelligence Hauz Khas 110016 India Indian Inst Technol Delhi Dept Appl Mech Hauz Khas 110016 India

Scientific machine learning has seen significant progress with the emergence of operator learning. However, existing methods encounter difficulties when applied to problems on unstructured grids and irregular domains. Spatial graph neural networks utilize local convolution in a neighborhood to potentially address these challenges, yet they often suffer from issues such as over-smoothing and over-squashing in deep architectures. Conversely, spectral graph neural networks leverage global convolution to capture extensive features and long-range dependencies in domain graphs, albeit at a high computational cost due to Eigenvalue decomposition. In this paper, we introduce a novel approach, referred to as Spatio-Spectral Graph Neural Operator (Sp2GNO) that integrates spatial and spectral GNNs effectively. This framework mitigates the limitations of individual methods and enables the learning of solution operators across arbitrary geometries, thus catering to a wide range of real-world problems. Sp2GNO demonstrates exceptional performance in solving both time-dependent and time-independent partial differential equations on regular and irregular domains. Our approach is validated through comprehensive benchmarks and practical applications drawn from computational mechanics and scientific computing literature.

关键词： Operator learning Graph neural network Spectral graph neural network Neural operator computational mechanics

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computational mechanics:: capabilities and restrictions

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computational MATERIALS SCIENCE 1999年第1-4期16卷 10-16页

作者： Weihe, S Kröplin, B AUDI AG D-85045 Ingolstadt Germany Univ Stuttgart Inst Stat & Dynam Aerosp Struct D-70550 Stuttgart Germany

关键词： computational mechanics error estimators failure nonlinearities

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computational mechanics and optimization-based prediction of grain orientation in anisotropic media using ultrasonic response

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NUCLEAR ENGINEERING AND TECHNOLOGY 2021年第6期53卷 1846-1857页

作者： Kim, Munsung Moon, Seongin Kang, To Kim, Kyongmo Song, Sung-Jin Suh, Myungwon Suhr, Jonghwan Sungkyunkwan Univ Sch Mech Engn Suwon 16419 South Korea Korea Atom Energy Res Inst Daejeon 34057 South Korea Dassault Syst Korea Corp Seoul 06164 South Korea

Ultrasonic nondestructive testing is important for monitoring the structural integrity of dissimilar metal welds (DMWs) in pressure vessels and piping in nuclear power plants. However, there is a low probability of crack detection via inspection of DMWs using ultrasonic waves because the grain structures (grain orientations) of the weld area cause distortion and splitting of ultrasonic beams propagating in anisotropic media. To overcome this issue, the grain orientation should be known, and a precise ultrasonic wave simulation technique in anisotropic media is required to model the distortion and splitting of the waves accurately. In this study, a method for nondestructive prediction of the DMW grain orientations is presented for accurate simulation of ultrasonic wave propagation behavior in the weld area. The ultrasonic wave propagation behavior in anisotropic media is simulated via finite-element analysis when ultrasonic waves propagate in a transversely isotropic material. In addition, a methodology to predict the DMW grain orientation is proposed that employs a simulation technique for ultrasonic wave propagation behavior calculation and an optimization technique. The simulated ultrasonic wave behaviors with the grain orientations predicted via the proposed method demonstrate its usefulness. Moreover, the method can be used to determine the focal law in DMWs. (c) 2020 Korean Nuclear Society, Published by Elsevier Korea LLC. This is an open access article under the CC BY-NC-ND license (http://***/licenses/by-nc-nd/4.0/).

关键词： Dissimilar metal welds Anisotropy Grain orientation computational mechanics Optimization Ultrasonic wave

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computational mechanics of heterogeneous materials - influence of residual stresses

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computational MATERIALS SCIENCE 2003年 26卷 142-153页

作者： Schmauder, S Weber, U Soppa, E Univ Stuttgart Staatliche Mat Prufungsanstalt MPA D-70569 Stuttgart Germany

In this contribution, a physically based micromechanical approach is applied in order to clarify the influence of residual stresses on local as well as global properties of metal matrix composites. Artificial microstructures as well as a representative microstructural cut-out of an Al/10%SiC-composite are meshed with finite elements in order to take phase boundaries into account. The latter mesovolume possesses all characteristic features of the material, such as volume fraction, distribution characteristics as well as shape of the particles. The deformation behaviour of this microstructure is analysed under large compressive external loading up to strains of about 10%. In addition, the failure behaviour is modelled using Rice & Tracey's failure criterion which was recently shown to model microstructural failure to a good approximation. In order to illuminate the influence of particle shape and arrangement, artificial two-dimensional microstructures are analyzed first. It is found that although residual stresses do have some impact on failure initiation in the microstructure, strains due to external loading are much more of importance in this respect. It is also found that irregular particle shapes are much more prone to fracture in the matrix as compared to regular shapes and that particle alignments are not beneficial with respect to failure aspects. The distribution and maximum values of the damage parameter are shown. It is found that in all cases investigated, damage follows the pattern of plastic deformation and is much less influenced by hydrostatic stresses than expected. Nevertheless, damage nucleates between clusters of particles where shear deformation as well as hydrostatic tensile stresses are concentrated in the matrix. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： finite element method MMC damage parameter residual stresses computational mechanics

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computational mechanics of heterogeneous materials - influence of residual stresses

Computational mechanics of heterogeneous materials - influen...

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51th International Workshop on computational mechanics of Materials

作者： Schmauder, S Weber, U Soppa, E Univ Stuttgart Staatliche Mat Prufungsanstalt MPA D-70569 Stuttgart Germany

关键词： finite element method MMC damage parameter residual stresses computational mechanics

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computational mechanics in virtual reality: Cutting and tumour interactions in a boundary element simulation of surgery on the brain

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6th International Conference on Modern Practice in Stress and Vibration Analysis

作者： Jones, I. A. Becker, A. A. Glover, A. T. Wang, P. Benford, S. D. Vloeberghs, M. Greenhalgh, C. M. Univ Nottingham Sch Mech Mat & Mfg Engn Univ Pk Nottingham NG7 2RD England Univ Nottingham Sch Comp Sci & Informat Technol Nottingham NG7 2RD England Univ Nottingham Sch Human Dev Div Child Hlth Nottingham NG7 2RD England

ISBN: (纸本)0878494189

Boundary element (BE) analysis is well known as a tool for assessing the stiffness and strength of engineering components, but, along with finite element (FE) techniques, it is also finding new applications as a means of simulating the behaviour of deformable objects within virtual reality simulations since it exploits precisely the same kind of surface-only definition used for visual rendering of three-dimensional solid objects. This paper briefly reviews existing applications of BE and FE within virtual reality, and describes recent work on the BE-based simulation of aspects of surgical operations on the brain, making use of commercial hand-held force-feedback interfaces (haptic devices) to measure the positions of the virtual surgical tools and provide tactile feedback to the user. The paper presents an overview of the project then concentrates on recent developments, including the incorporation of simulated tumours in the virtual brain.

关键词： computational mechanics boundary element analysis virtual reality simulation surgery

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computational mechanics for Shape Optimization and Airplane Bombing based on OpenFOAM and LS-DYNA Software

Computational Mechanics for Shape Optimization and Airplane ...

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作者： Yeh, Jean Texas A&M University

学位级别：Ph.D., Doctor of Philosophy

In this dissertation, two problems are studied by computational mechanics. The first problem is the development and application of open-source software OpenFOAM to solve a coupled system from shape optimization on a time-dependent changing domain to minimize a cost functional. Previously, researchers have treated this problem in 2D space, but here the author will extend the computation to 3D space. She will use the finite volume methods and OpenFOAM to build time-varying domains for optimization. The second problem is about computational forensics. The author will discuss some photographic evidence, introduce mathematical modeling and do computational modeling regarding this particular Daallo Airlines bombing case, in which only a small amount of explosives was used. Mathematical and computer modeling of viscoplasticity, fracture and explosion by LS-DYNA will be used to study this problem and we computed on the supercomputer at Texas A&M University’s High Performance Research Computing Center. All of the numerical results of airplane bombing can be seen in the many video animations we made from the post-processed supercomputer results. The associated physical phenomena will also be interpreted.

关键词： Shape optimization Airplane bombing OpenFOAM LS-DYNA computational simulation computational mechanics computational forensics

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computational mechanics of knitted structures - Critical overview

Computational mechanics of knitted structures - Critical ove...

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6th European Congress on computational Methods in Applied Sciences and Engineering, ECCOMAS 2012

作者： Kyosev, Yordan Renkens, Wilfried Research Institute for Textile and Clothing Hochschule Niederrhein - University of Applied Sciences Webschulstr. 31 41065 Mönchengladbach Germany TexMind UG Germany Renkens Consulting Aachen Germany

This paper provides a critical overview about the state of the art in the area of the computational mechanics of weft and warp knitted structures. The basics of the geometrical and some mechanical models are discussed... 详细信息

ISBN: (纸本)9783950353709

关键词： computational mechanics

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A New Uncertainty Analysis-Based Framework for Data-Driven computational mechanics

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JOURNAL OF APPLIED mechanics-TRANSACTIONS OF THE ASME 2021年第11期88卷 111003页

作者： Guo, Xu Du, Zongliang Liu, Chang Tang, Shan Dalian Univ Technol Int Res Ctr Computat Mech Dept Engn Mech State Key Lab Struct Anal Ind Equipment Dalian 116023 Peoples R China Dalian Univ Technol Ningbo Inst Ningbo 315016 Peoples R China

In this article, a new uncertainty analysis-based framework for data-driven computational mechanics (DDCM) is established. Compared with its practical classical counterpart, the distinctive feature of this framework is that uncertainty analysis is introduced into the corresponding problem formulation explicitly. Instated of only focusing on a single solution in phase space, a solution set is sought for to account for the influence of the multisource uncertainties associated with the data set on the data-driven solutions. An illustrative example provided shows that the proposed framework is not only conceptually new but also has the potential of circumventing the intrinsic numerical difficulties pertaining to the classical DDCM framework.

关键词： computational mechanics data-driven uncertainty analysis convex optimization bounding interval of structural response

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