A5077324936- Composite Structure Analysis and Optimization
- Vibration and Dynamic Analysis
- Structural Analysis and Optimization
- Numerical methods in engineering
- Advanced Materials and Mechanics
- Composite Material Mechanics
- Metal Forming Simulation Techniques
- Advanced Numerical Methods in Computational Mathematics
- Advanced Mathematical Modeling in Engineering
- Structural Load-Bearing Analysis
- Metallurgy and Material Forming
- Contact Mechanics and Variational Inequalities
- Advanced Numerical Analysis Techniques
- Elasticity and Material Modeling
- Numerical methods for differential equations
- Fractional Differential Equations Solutions
- Mechanical Behavior of Composites
- Differential Equations and Numerical Methods
- Mechanical stress and fatigue analysis
- Iterative Methods for Nonlinear Equations
- Geotechnical Engineering and Underground Structures
- Fluid Dynamics and Thin Films
- Dynamics and Control of Mechanical Systems
- Matrix Theory and Algorithms
- Nonlinear Dynamics and Pattern Formation
Centre National de la Recherche Scientifique
2013-2024
École nationale supérieure d'arts et métiers
2018-2024
ParisTech
2018-2024
Université de Lorraine
2013-2024
Laboratoire d'Étude des Microstructures et de Mécanique des Matériaux
2014-2023
Hospital Damas
2013-2021
Laboratoire d'Étude des Microstructures
2012-2020
John Wiley & Sons (United States)
2018-2019
Hudson Institute
2018-2019
University of Vermont
2017-2019
Abstract In this paper, we apply asymptotic–numerical methods for computing non‐linear equilibrium paths of elastic beam, plate and shell structures. The branches are sought in the form asymptotic expansions, they determined by solving numerically (FEM) several linear problems with a single stiffness matrix. A large number terms series can be easily computed using recurrence formulas. comparison more classical step‐by‐step procedure, method is rapid automatic. We show, some examples, that...
Concrete cracking induced by strand corrosion can degrade bond strength and lead to prestress loss. A novel model is proposed predict corrosion-induced loss in pretensioned concrete structures. The coupling effects of degradation are incorporated into the model. An experimental study conducted evaluate effective eight corroded beams under various stress levels. Experimental results employed validate Results demonstrate that accurately Prestress depends on degree. Corrosion-induced may not...
Biological functions in living systems are closely related to their geometries and morphologies. Toroidal structures, which widely exist nature, present interesting features containing positive, zero, negative Gaussian curvatures within one system. Such varying would significantly affect the growing or dehydrating morphogenesis, as observed various intricate patterns abundant biological structures. To understand underlying morphoelastic mechanism determine crucial factors that govern...
Cet ouvrage presente une famille de techniques numeriques destinees a resoudre des problemes non lineaires dependant d'un parametre scalaire. Ces methodes visent le meme objectif que les continuation classiques mais avec strategie differente : approximations tangentes sont remplacees par series entieres tronquees ordres relativement elevees. Parce ces contiennent enormement informations, la plupart inaccessible algorithmes classiques, cheminement sur branches solutions est simple et robuste,...
Abstract In this paper, we apply an asymptotic‐numerical method for computing the postbuckling behaviour of plate and shell structures. The bifurcating branch is sought in form polynomial expansions, it determined by solving numerically (FEM) several linear problems with a single stiffness matrix. A large number terms series can easily be computed using recurrent formulas. comparison more classical step‐by‐step procedure, rapid automatic. However, expansions have radius convergence which...
In this paper a new method to compute the bifurcating branches for an elastic structure is presented. The based on asymptotic-numerical (ANM), that perturbation technique solve problems in non-linear mechanics. Herein, we present computing strategy find bifurcation points and post-buckling framework of ANM. Some examples are also given, which prove effectiveness proposed method. A discussion results open ends paper. © 1998 John Wiley & Sons, Ltd.
ABSTRACT Perturbation techniques (asymptotic expansions) have been widely used in many engineering fields for solving nonlinear problems. However, the solution is often represented by first few terms of a perturbation expansion, which leads to qualitative approximation rather than quantitative one. Our aim show that technique can also lead powerfull numerical method some classes structural problems, provided it combined with finite element account complex geometries, and large number...