# Haut PDF Fast nonlinear solvers in solid mechanics

### Fast nonlinear solvers in solid mechanics

**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 ...

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 ...

22

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

**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 ...

13

### Mechanics of Fast Force Recovery in striated muscles

**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 ...

275

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

**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 ...

23

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

**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 ...

14

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

**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 ...

18

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

**IN**

**MECHANICS**: MATERIAL DATA IDENTIFICATION AND

**SOLVERS**LAURENT STAINIER, ADRIEN LEYGUE, AND MICHAEL ORTIZ ...to

**solid**

**mechanics**, allowing to perform numerical simulations on ...

19

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

**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 ...

130

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

**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 ...

9

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

**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 ...

35

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

**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 ...

12

### Analytical Comparison of Two Multiscale Coupling Methods for Nonlinear Solid Mechanics

**in**a

**nonlinear**

**solid**

**mechanics**framework. A ...

6

### Educational applications of photoelastodynamics for solid mechanics and dynamics of structures

**in**comparison with numerical ...included

**in**engineering general courseware, about stress analysis : theory of elasticity and dynamics of ...included

**in**integrated France-Canada ...

13

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

**solid**

**mechanics**...lies

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

**solid**

**mechanics**...

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 ...

7

### Recent advances in sparse direct solvers

11

### Combining FEniCS and MFront Code Generation Tools for Nonlinear Mechanics

2

### Derivation of nonlinear Gibbs measures from many-body quantum mechanics

**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 ...

52

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

**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 ...

13