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Haut PDF Fast nonlinear solvers in solid mechanics

Fast nonlinear solvers in solid mechanics

Fast nonlinear solvers in solid mechanics

... substitutions. In solid mechanics, as in other applications, these methods have proved to be efficient in the two-dimensional case, but a significant fill-in phenomenon usually ...

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Annals of Solid and Structural Mechanics

Annals of Solid and Structural Mechanics

... · nonlinear dynamics · stability · Floquet theory · period doubling · bifurcation diagram · Poincar´e section 1 Introduction The development and propagation of a crack represents the most common and trivial ...

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An Automatic Multilevel Refinement Technique based on Nested Local Meshes for Nonlinear Mechanics

An Automatic Multilevel Refinement Technique based on Nested Local Meshes for Nonlinear Mechanics

... France In this paper an adaptive multilevel mesh refinement method, coupled with the Zienkiewicz and Zhu a posteriori error estimator, is applied to solid mechanics with the objective of conduct ...

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Mechanics of Fast Force Recovery in striated muscles

Mechanics of Fast Force Recovery in striated muscles

... transients. In the hard device, this is particularly visible for the mean trajectories (see ...change in the distribution of the cross-bridges (purely elastic response, see the T 1 curve on ...cross-bridges ...

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Linear and nonlinear solvers for variational phase-field models of brittle fracture

Linear and nonlinear solvers for variational phase-field models of brittle fracture

... CONCLUSION In this paper we proposed several improvements to the current standard algorithm for solving variational fracture ...decrease in runtime, although at a more significant development ...subproblems ...

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Null-collision meshless Monte-Carlo-Application to the validation of fast radiative transfer solvers embedded in combustion simulators

Null-collision meshless Monte-Carlo-Application to the validation of fast radiative transfer solvers embedded in combustion simulators

... Unlike in the benchmark simulations of Section 3 where the input fields were analytic, the input fields are now provided using the LES grid of AVBP ...involved in the fluid mechanics and chemistry ...

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Analytical parametrization of self-consistent polycrystal mechanics: Fast calculation of upper mantle anisotropy

Analytical parametrization of self-consistent polycrystal mechanics: Fast calculation of upper mantle anisotropy

... models, in which the detailed spatial distribution of the grains is ignored and the aggregate is treated as a finite number of grains with different orientations and material ...properties. In this ...

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MODEL-FREE DATA-DRIVEN METHODS IN MECHANICS: MATERIAL DATA IDENTIFICATION AND SOLVERS

MODEL-FREE DATA-DRIVEN METHODS IN MECHANICS: MATERIAL DATA IDENTIFICATION AND SOLVERS

... METHODS IN MECHANICS: MATERIAL DATA IDENTIFICATION AND SOLVERS LAURENT STAINIER, ADRIEN LEYGUE, AND MICHAEL ORTIZ ...to solid mechanics, allowing to perform numerical simulations on ...

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The Discontinuous Galerkin Material Point Method : Application to hyperbolic problems in solid mechanics

The Discontinuous Galerkin Material Point Method : Application to hyperbolic problems in solid mechanics

... of solid mechanics. It has first been shown on a Riemann problem in a linear elastic bar under small strains in section ...propagating in the ...derived in section ...problems ...

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Real-time Muscle Deformation via Decoupled Modeling of Solid and Muscle Fiber Mechanics

Real-time Muscle Deformation via Decoupled Modeling of Solid and Muscle Fiber Mechanics

... architecture in real-time (15 FPS), that is a compromise between highly detailed 3D FEM and 1D Hill-type existing ...behavior. Fast computation time allows to run the sim- ulation in real-time using ...

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A tutorial on Bayesian inference to identify material parameters in solid mechanics

A tutorial on Bayesian inference to identify material parameters in solid mechanics

... complex, nonlinear, C 0 -continuous descriptions (elastoplasticity with nonlinear ...tests in order to be as straightforward as possible. In addition to introducing the general idea of ...

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A Discontinuous Galerkin Material Point Method for the simulation of impact problems in solid mechanics

A Discontinuous Galerkin Material Point Method for the simulation of impact problems in solid mechanics

... as in the linear elastic ...this nonlinear problem and the reason might be the use of an approximate Riemann solver instead of the nonlinear one (which is more ...oscillations in the ...

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Analytical Comparison of Two Multiscale Coupling Methods for Nonlinear Solid Mechanics

Analytical Comparison of Two Multiscale Coupling Methods for Nonlinear Solid Mechanics

... The aim of this work is to compare two existing multilevel compu- tational approaches coming from two different families of multi- scale methods in a nonlinear solid mechanics framework. A ...

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Educational applications of photoelastodynamics for solid mechanics and dynamics of structures

Educational applications of photoelastodynamics for solid mechanics and dynamics of structures

... transmission, in comparison with numerical ...included in engineering general courseware, about stress analysis : theory of elasticity and dynamics of ...included in integrated France-Canada ...

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Robust and efficient meshfree solid thermo-mechanics simulation of friction stir welding

Robust and efficient meshfree solid thermo-mechanics simulation of friction stir welding

... transient solid mechanics ...lies in that the standard SPH formulation uses an explicit (forward difference) time integration scheme that is conditionally ...For solid mechanics ...

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Certification of SAT Solvers in Coq

Certification of SAT Solvers in Coq

... In this paper, we describe our own certifier, which produces a trace checkable by Coq 8.2, without using any impure extension of Coq (we do use machine integers, available in Coq 8.2). We believe that our ...

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Recent advances in sparse direct solvers

Recent advances in sparse direct solvers

... ,Q SUDFWLFH QRGHV DUH DPDOJDPDWHG QRGHV WKDW UHSUHVHQW FROXPQV DQG URZV RI WKH IDFWRUV ZLWK VLPLODU VWUXFWXUHV DUH JURXSHG WRJHWKHU LQ D VLQJOH QRGH RIWHQ UHIHUUHG WR DV D VXSHUQRGH [r] ...

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Combining FEniCS and MFront Code Generation Tools for Nonlinear Mechanics

Combining FEniCS and MFront Code Generation Tools for Nonlinear Mechanics

... Combining FEniCS and MFront Code Generation Tools for Nonlinear Mechanics. SIAM Conference on Computational Science and Engineering (CSE21), Mar 2021, Fort Worth, Texas, United States.[r] ...

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Derivation of nonlinear Gibbs measures from many-body quantum mechanics

Derivation of nonlinear Gibbs measures from many-body quantum mechanics

... QFT. Nonlinear Gibbs measures have also played an important role in constructive quantum field theory (QFT) [24, 47, ...field in space dimension d, by means of a (classical) nonlinear Gibbs ...

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Numerical experiments on the performance of the RBF meshfree Galerkin Methods for solid mechanics

Numerical experiments on the performance of the RBF meshfree Galerkin Methods for solid mechanics

... error In this section, studies on the accuracy of the RPIM shape functions used for curve fitting are conducted ...nodes in the domain where the function is to be fitted, then for a given test node x ...

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