scholarly journals A Study of Speed of the Boundary Element Method as applied to the Realtime Computational Simulation of Biological Organs

2014 ◽  
Vol 12 (2) ◽  
Author(s):  
Kirana Kumara P
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Computational Simulation ◽  
Material Model ◽  
Material Behavior ◽  
Nonlinear Material ◽  
Processing Unit ◽  
Material Models ◽  
Highly Nonlinear ◽  
Element Method

In this work, possibility of simulating biological organs in realtime using the Boundary Element Method (BEM) is investigated. Biological organs are assumed to follow linear elastostatic material behavior, and constant boundary element is the element type used.  First, a Graphics Processing Unit (GPU) is used to speed up the BEM computations to achieve the realtime performance. Next, instead of the GPU, a computer cluster is used.  Results indicate that BEM is fast enough to provide for realtime graphics if biological organs are assumed to follow linear elastostatic material behavior. Although the present work does not conduct any simulation using nonlinear material models, results from using the linear elastostatic material model imply that it would be difficult to obtain realtime performance if highly nonlinear material models that properly characterize biological organs are used. Although the use of BEM for the simulation of biological organs is not new, the results presented in the present study are not found elsewhere in the literature.

scholarly journals Finite Element Software for Rubber Products Design

2018 ◽  
Vol 3 (1) ◽  
pp. 13-20
Author(s):  
Dávid Huri
Keyword(s):  
Finite Element ◽  
Complex Analysis ◽  
Large Deformations ◽  
Material Behavior ◽  
Nonlinear Material ◽  
Material Models ◽  
Finite Element Software ◽  
Highly Nonlinear ◽  
Wide Range ◽  
Different Types

Automotive rubber products are subjected to large deformations during working conditions, they often contact with other parts and they show highly nonlinear material behavior. Using finite element software for complex analysis of rubber parts can be a good way, although it has to contain special modules. Different types of rubber materials require the curve fitting possibility and the wide range choice of the material models. It is also important to be able to describe the viscoelastic property and the hysteresis. The remeshing possibility can be a useful tool for large deformation and the working circumstances require the contact and self contact ability as well. This article compares some types of the finite element software available on the market based on the above mentioned features.

scholarly journals High-performance practical stiffness analysis of high-rise buildings using superfloor elements

2020 ◽  
Vol 7 (2) ◽  
pp. 211-227
Author(s):  
Ahmed A Torky ◽  
Youssef F Rashed
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Stiffness Matrix ◽  
High Performance ◽  
Parallel Processors ◽  
Element Formulation ◽  
Processing Unit ◽  
Stiffness Analysis ◽  
Industrial Level ◽  
Element Method

Abstract This study develops a high-performance computing method using OpenACC (Open Accelerator) for the stiffness matrix and load vector generation of shear-deformable plates in bending using the boundary element method on parallel processors. The boundary element formulation for plates in bending is used to derive fully populated displacement-based stiffness matrices and load vectors at degrees of freedom of interest. The computed stiffness matrix of the plate is defined as a single superfloor element and can be solved using stiffness analysis, $Ku = F$, instead of the conventional boundary element method, $Hu = Gt$. Fortran OpenACC code implementations are proposed for the computation of the superfloor element’s stiffness, which includes one serial computing code for the CPU (central processing unit) and two parallel computing codes for the GPU (graphics processing unit) and multicore CPU. As industrial level practical floors are full of supports and geometrical information, the computation time of superfloor elements is reduced dramatically when computing on parallel processors. It is demonstrated that the OpenACC implementation does not affect numerical accuracy. The feasibility and accuracy are confirmed by numerical examples that include real buildings with industrial level structural floors. Engineering computations for massive floors with immense geometrical detail and a multitude of load cases can be modeled as is without the need for simplification.

Numerical Simulations of Large Deep Water Waves: The Application of a Boundary Element Method

2006 ◽  
Author(s):  
Caroline H. Hague ◽  
Chris Swan
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Deep Water ◽  
Water Waves ◽  
Physical Space ◽  
Wave Model ◽  
Three Dimensions ◽  
Fully Nonlinear ◽  
Highly Nonlinear ◽  
Element Method

This paper concerns the description of extreme surface water waves in deep water. A fully nonlinear numerical wave model in three dimensions is presented, based on the Boundary Element Method (BEM), and is applied to nonlinear focusing of wave components with varying frequency and direction of propagation to form highly nonlinear groups. By using multiple fluxes at corners and edges of the numerical domain the “corner problem” associated with BEM-based models in physical space is overcome. A two-dimensional version of the method is also employed to model unidirectional cases, and examples presented include the focusing of Top Hat spectra in deep water to form highly nonlinear wave groups at or close to their breaking limit. The ability of the model to accurately simulate these sea states is highlighted by comparison to the fully nonlinear model of Bateman, Swan and Taylor (2001, 2003).

scholarly journals Inelastic Analysis of Transverse Deflection of Plates by the Boundary Element Method

1980 ◽  
Vol 47 (2) ◽  
pp. 291-296 ◽  
Author(s):  
M. Morjaria ◽  
S. Mukherjee
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Model Material ◽  
Material Behavior ◽  
State Variables ◽  
Simply Supported ◽  
Inelastic Analysis ◽  
Transverse Deflection ◽  
Element Method

A numerical scheme for time-dependent inelastic analysis of transverse deflection of plates of arbitrary shape by the boundary element method is presented in this paper. The governing differential equation is the inhomogeneous biharmonic equation for the rate of small transverse deflection. This complicated boundary-value problem for an arbitrarily shaped plate is solved by using a novel combination of the boundary element method and finite-element methodology. The number of unknowns, however, depends upon the boundary discretization and is therefore less than in a finite-element model. A combined creep-plasticity constitutive theory with state variables is used to model material behavior. The computer code developed can solve problems for an arbitrarily shaped plate with clamped or simply supported boundary conditions and an arbitrary loading history. Some illustrative numerical results for clamped and simply supported rectangular and triangular plates, under various loading histories, are presented and discussed.

Prediction of longitudinal modulus of aligned discontinuous fiber-reinforced composites using boundary element method

2014 ◽  
Vol 21 (2) ◽  
pp. 219-221 ◽  
Author(s):  
Halit Gun ◽  
Gorkem Kose
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Material Behavior ◽  
Fiber Reinforced Composites ◽  
Element Formulation ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Discontinuous Fiber ◽  
Longitudinal Modulus ◽  
Element Method

AbstractIn this study, the boundary element method is presented for the prediction of longitudinal modulus of aligned discontinuous fiber-reinforced composites. The details of the boundary element formulation model covering infinite friction (stick) contact conditions are given. Both fiber and matrix materials are assumed to display linear elastic material behavior. The formulation is applied to boron/epoxy discontinuous fiber-reinforced composites. The computed results show a very good agreement with the modified Cox model and the finite element analysis with experimental data.

scholarly journals Non-symmetric isogeometric FEM-BEM couplings

2021 ◽  
Vol 47 (5) ◽  
Author(s):  
Mehdi Elasmi ◽  
Christoph Erath ◽  
Stefan Kurz
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
A Priori ◽  
Galerkin Approximation ◽  
Coupled System ◽  
Material Behavior ◽  
Thin Domains ◽  
Lipschitz Continuous ◽  
Element Method

AbstractWe present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting of two disjoint domains. We consider the Finite Element Method in the bounded domains to simulate possibly non-linear materials. The Boundary Element Method is applied in unbounded or thin domains where the material behavior is linear. The isogeometric framework allows to combine different design and analysis tools: first, we consider the same type of NURBS parameterizations for an exact geometry representation and second, we use the numerical analysis for the Galerkin approximation. Moreover, it facilitates to perform h- and p-refinements. For the sake of analysis, we consider the framework of strongly monotone and Lipschitz continuous operators to ensure well-posedness of the coupled system. Furthermore, we provide a priori error estimates. We additionally show an improved convergence behavior for the errors in functionals of the solution that may double the rate under certain assumptions. Numerical examples conclude the work which illustrate the theoretical results.

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