A 3D shock computational strategy for real assembly and shock attenuator

Lemoussu, H.; Boucard, Pierre-Alain

doi:10.1016/s0965-9978(02)00074-1

Cited by 14 publications

(16 citation statements)

References 7 publications

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“…This method is a general, mechanics-based computational strategy for the resolution of time-dependent nonlinear problems, which operates over the entire time-space domain. It has been successfully applied to a variety of problems: quasi-static and dynamic analysis, post-buckling analysis, analysis of highly heterogeneous systems [23,22,17,15,18] and multiphysics problems [29].…”

Section: Single-scale Structure Decomposition Methodsmentioning

confidence: 99%

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On a mixed and multiscale domain decomposition method

Ladevèze

Néron

Gosselet

2007

Computer Methods in Applied Mechanics and Engineering

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This paper presents a reexamination of a multiscale computational strategy with homogenization in space and time for the resolution of highly heterogeneous structural problems, focusing on its suitability for parallel computing. Spatially, this strategy can be viewed as a mixed, multilevel domain decomposition method (or, more accurately, as a "structure decomposition" method). Regarding time, a "parallel" property is also described. We also draw bridges between this and other current approaches.Key words: domain decomposition, multiscale, computational mechanics IntroductionIn the structural mechanics field, one can observe a surge of interest in the multiscale analysis of structures with complex microstructural geometry and/or complex behavior. When accurate solutions are required, calculations must be performed on a finely discretized model of the structure (defined on what is called the "micro" level) consistent with short lengths of variation, both in space and in time. A major application is the analysis of composite structures described on the microscale or on the mesoscale [1]; there are also other applications, such as in [2,3]. These types of situations lead to problems with very large numbers of degrees of freedom and computation costs which are prohibitive if one uses classical finite element codes. One of the main objectives * Corresponding author. E-mail: pierre.ladeveze@lmt.ens-cachan.fr Preprint of the last few decades has been to develop efficient and robust computational strategies suitable for these types of problems. One of these strategies uses the theory of the homogenization of periodic media [4][5][6]. Other developments and the associated computational approaches can be found in [7][8][9][10][11][12][13][14]. Besides periodicity, these strategies rely on the fundamental assumption that the ratio between the two scales is small. Thus, the boundary zones require specific treatment because in these zones the microstructure cannot be homogenized. Here, we follow a recently introduced multiscale computational strategy for nonlinear evolution problems. This strategy involves an automatic homogenization technique in space as well as in time [15,16] which is an extension of previous works limited to space alone [17,18]. This strategy, developed in a general framework, makes no a priori assumption regarding the form of the solution and, therefore, does not suffer from the limitations of standard homogenization techniques; moreover, it relies on an iterative algorithm. Until now, this strategy has been developed in the framework of small displacements of (visco)plastic structures under possible contact with or without friction. This paper is a reconsideration of this computational strategy in order to assess its adaptability to parallel computing. Therefore, we examine its three main characteristics. The first characteristic is that it can be viewed as a mixed, multilevel domain decomposition method or, more precisely as will explained further on, as a "structure decomposition" method. Ind...

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Section: Single-scale Structure Decomposition Methodsmentioning

confidence: 99%

“…In the case of problems with multiple contacts, it is obvious that the philosophy of the method consists in fitting these contact interfaces between substructures to the material interfaces between the different components of the assembly [19,[21][22][23]. Each individual component can also be partitioned artificially using a perfect connection interface.…”

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confidence: 99%

On a mixed and multiscale domain decomposition method

Ladevèze

Néron

Gosselet

2007

Computer Methods in Applied Mechanics and Engineering

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“…Its main originality lies in a non-incremental iterative approach that operates over the entire time-space domain. This method has been successfully applied to various quasi-static and dynamic problems, post-buckling analysis and domain decomposition [27][28][29][30][31][32][33]. The next three subsections briefly recall this approach.…”

Section: The Large Time Increment Methods As a Solvermentioning

confidence: 99%

A computational strategy for poroelastic problems with a time interface between coupled physics

Néron¹,

Dureisseix²

2007

Numerical Meth Engineering

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International audienceThis paper deals with a computational strategy suitable for the simulation of multiphysics problems and based on the Large Time INcrement (LATIN) method. One of the main issues in the design of advanced tools for the simulation of such problems is to take into account the different time and space scales which usually arise with the different physics. Here, we focus on using different time discretizations for each physic by introducing an interface with its own discretization. The proposed application concerns the simulation of a 2-physics problem: the fluid-structure interaction in porous media

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“…The strategy was also successfully applied to many studies, strongly related to industrial problems: the prediction of damage in composites [1,14,70,78,118], the computation of assemblies [31], the simulation of dynamic shocks [26,71,86], the simulation of porous media [47,92] and the virtual testing of joints for the prediction of damping in space launchers [28].…”

Section: Advanced Non-linear Solvers Making Use Of Space-time Separatmentioning

confidence: 99%

A Short Review on Model Order Reduction Based on Proper Generalized Decomposition

Chinesta

Ladevèze²,

Cueto³

2011

Arch Computat Methods Eng

561

437

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This paper revisits a new model reduction methodology based on the use of separated representations, the so called Proper Generalized Decomposition-PGD. Space and time separated representations generalize Proper Orthogonal Decompositions-POD-avoiding any a priori knowledge on the solution in contrast to the vast majority of POD based model reduction technologies as well as reduced bases approaches. Moreover, PGD allows to treat efficiently models defined in degenerated domains as well as the multidimensional models arising from multidimensional physics (quantum chemistry, kinetic theory descriptions, . . .) or from the standard ones when some sources of variability are introduced in the model as extra-coordinates.

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A 3D shock computational strategy for real assembly and shock attenuator

Cited by 14 publications

References 7 publications

On a mixed and multiscale domain decomposition method

On a mixed and multiscale domain decomposition method

A computational strategy for poroelastic problems with a time interface between coupled physics

A Short Review on Model Order Reduction Based on Proper Generalized Decomposition

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