Stable time step estimates for NURBS-based explicit dynamics

Adam, Cédric; Bouabdallah, Salim; Zarroug, Malek; Maïtournam, Habibou

doi:10.1016/j.cma.2015.03.017

Cited by 11 publications

(20 citation statements)

References 24 publications

(37 reference statements)

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“…As stated in the research paper of Adam et al [28], the explicit analysis may need an incredibly large number of time increments for the numerical model, leading to very long computation time for simulation of quasi-static problems (normally requiring more than ten seconds). The Abaqus documentation recommends two numerical techniques for faster solutions: a) time scaling and b) mass scaling.…”

Section: Explicit Model Detailsmentioning

confidence: 99%

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FE simulation and experimental tests of high-strength structural bolts under tension

Shen

Nie

et al. 2016

Journal of Constructional Steel Research

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Highlights Bolts mating with nuts of higher class can lead to a higher probability in failure  8.8 structural bolts mating with bright nuts failed by thread stripping  In the numerical simulation, influence of different material laws was small  Some discrepancy in load-displacement relationship can be observed  Numerical simulation was capable of representing the failure mechanisms -1 - FE Simulation and Experimental Tests of High Strength Structural Bolts under Tension-2 - ABSTRACTExperimental tests has been completed for high strength 8.8 bolts for studying their mechanical performance subjected to tensile loading. As observed from these tests, failure of structural bolts has been identified as in one of two ways: threads stripping and necking of the threaded portion of the bolt shank, which is possibly due to the degree of fit between internal and external threads. Following the experimental work, a numerical approach has been developed for demonstration of the tensile performance with proper consideration of tolerance class between bolts and nuts. It has been found that the degree of fit between internal and external threads has been identified as a critical factor affecting failure mechanisms of high strength structural bolts in tension, which is caused by the machining process. In addition, different constitutive material laws have been taken into account in the numerical simulation, demonstrating the entire failure mechanism for structural bolts with different tolerance classes in their threads. It is also observed that the bolt capacities are closely associated with their failure mechanisms.

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Section: Explicit Model Detailsmentioning

confidence: 99%

“…This time increment is also associated with the material density, which may be utilized for the mass scaling approach [28].…”

Section: Explicit Model Detailsmentioning

confidence: 99%

FE simulation and experimental tests of high-strength structural bolts under tension

Shen

Nie

et al. 2016

Journal of Constructional Steel Research

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“…On the contrary the time integration strategy has to be improved because, to the authors knowledge, no method for mass matrix diagonalization for isogeometric elements exists which lead to accurate results for higher frequencies. Adam et al (2015) analyzes several lumping strategies, but for greater eigenfrequencies the eigenmodes show errors and the accuracy decreases. Although the memory cost is lower the computational time is not reduced compared to spectral finite elements.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the dynamical behavior of piezoceramic actuators using piezoelectric isogeometric finite elements

Willberg¹

2016

Advances in Computational Design

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In this paper an electromechanically coupled isogeometric finite element is utilized to analyse Lamb wave excitation with piezoceramic actuators. An effective actuator design reduces the energy needed for Lamb wave excitation, which is beneficial if a structural health monitoring system should be applied for a structure. For a better understanding of the actuator behavior the piezoeceramics are studied both free and bonded at a structure. The numerical part of the analysis is performed utilizing isogeometric finite elements. To obtain the optimal performance for the numerical analysis the effect of k-refinement of the isogeometric element with respect to the convergence is studied and discussed. The optimal numerical setup with the best convergence rate is proposed and is validated with free piezoeceramic actuators. The validated model is then utilized to study the impact of actuator shape and adhesive bondline effect to the wave amplitude. The study shows that simplified analytical equations do not predict the optimal excitation frequencies for all piezoceramic designs accurately.

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“…As the maximum stable time increment size for explicit time integration methods is tied to the minimum element-like dimension, the applicable time increment size is simultaneously increased. However, according to Adam et al (2015b) the maximum stable time step size could be increased even further due to the higher continuity. This could mean a significant reduction in computational time of explicit analysis.…”

Section: Isogeometric Analysis (Iga)mentioning

confidence: 99%

“…The higher continuity is also beneficial for the Galerkin method as the numerical integration need not be performed at most one element at a time (Hughes et al,6 CHAPTER 1. INTRODUCTION 2010; Schillinger et al, 2014;Adam et al, 2015b). Moreover, the smoothness of the interpolation functions makes collocation methods potentially a good alternative for solving the underlying partial differential equations.…”

Section: Isogeometric Analysis (Iga)mentioning

confidence: 99%

Isogeometric shell analysis of incremental sheet forming

Hokkanen¹

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This thesis investigates the applicability and beneficiality of isogeometric analysis to the incremental sheet forming simulations. Incremental sheet forming (ISF) is a manufacturing process for sheet metals where the final shape is obtained incrementally using a blunt moving tool. ISF is a relatively slow process but does not need precise and expensive dies (which require a long lead time) in contrast to many other sheet forming processes. This makes it ideal for rapid prototyping, customized parts, and

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Stable time step estimates for NURBS-based explicit dynamics

Cited by 11 publications

References 24 publications

FE simulation and experimental tests of high-strength structural bolts under tension

FE simulation and experimental tests of high-strength structural bolts under tension

Analysis of the dynamical behavior of piezoceramic actuators using piezoelectric isogeometric finite elements

Isogeometric shell analysis of incremental sheet forming

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