# [PDF] Top 20 Fast nonlinear solvers in solid mechanics

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### 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 ... Voir le document complet

151

### 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 ... Voir le document complet

22

### 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 ... Voir le document complet

13

### 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 ... Voir le document complet

275

### 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 ... Voir le document complet

23

### 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 ... Voir le document complet

14

### 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 ... Voir le document complet

18

### 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 ... Voir le document complet

19

### 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 ... Voir le document complet

130

### 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 ... Voir le document complet

9

### 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 ... Voir le document complet

35

### 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 ... Voir le document complet

12

### 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 ... Voir le document complet

6

### 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 ... Voir le document complet

13

### 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** ... Voir le document complet

359

### 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 ... Voir le document complet

7

### 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] ... Voir le document complet

11

### 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] ... Voir le document complet

2

### 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 ... Voir le document complet

52

### 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 ... Voir le document complet

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