Search results for "solid mechanics"

Modélisation numérique avec apport de matière du soudo-brasage des assemblages hétérogènes acier/aluminium

2007

This study deals with the numerical simulation of heterogeneous brazing of steel / aluminium alloy sheets by CMT process. The difference between the linear expansion coefficients of these materials generates high deformations and residual stress. The addiction of brazing material is simulated. A validation the model is made in the simplest case of a sheet of aluminium alloy with a brazing bead. Comparisons are made between numerical and experimental results on out-of-plane displacements of steel / aluminium assembly.

Mécanique du Solide (Cours, exercices et problèmes corrigés)

2001

A few remarks about the computer implementation and the verification of some hyperelastic constitutive laws and an illustration with the mechanical r…

2022

In this short technical note, we are interested in the constitutive equations used to model macroscopically the mechanical function of soft tissues under mechanical loading. Soft tissues have the ability to undergo large elastic reversible deformations under quasi-static loading and are usually modelled using hyperelastic constitutive laws. Several constitutive equations have been defined in the literature by means of strain components or strain invariants isotropic hyperelastic models. This short technical note recalls how to derive the weak form for hyperelasticity equations, and how this weak form can be linearized. It also presents a semi-analytical solution for a simplified geometry re…

Analyse numérique de structures sandwichs viscoélastiques et modèle à dérivées fractionnaires

2019

The work deals with the free vibration problem of sandwich structures with a viscoelastic core. Zener model with fractional derivatives with four parameters is used to describe the viscoelastic behaviour. The fractional law is implemented in a numerical tool based on the Ritz method and a variable kinematics approach which is particularly adapted for sandwich plate modelling, the Sublaminate Generalized Unified Formulation (SGUF). The non-linear eigenvalue problem that arises from the frequency dependence of the viscoelastic properties is solved using an iterative algorithm. The approach is validated on several examples consisting of viscoelastic sandwich beam and plate structures, includin…

Calculation of Dependent Elastic Constants of Plastic Foams with a Pronounced Strut-Like Structure

2003

Seven dependent elastic constants of monotropic plastic foams with an expressed strut-like structure are calculated. For this purpose, the basic results of the previously elaborated mathematical model for light-weight plastic foams is used. The model includes a model cell of local structure for monotropic/isotropic plastic foams and an ensemble of structural elements, which allows one to calculate the seven dependent elastic constants, taking into account the pronounced polydispersity of the structure of plastic foams. The numerical values of the constants are compared with the available experimental data, and a satisfactory agreement is found to exist. As a final result, a full set of gene…

The importance of fracture-healing on the deformation of fluid-filled layered systems

2014

International audience; Understanding the fracturingehealingerefracturing cycle is a fundamental part of studying the deformation dynamics and the permeability evolution of rock systems. Previous studies, however, have not examined the influence of healing i.e. fracture-closure through vein formation and the mechanical properties of the " healed " fractures (veins) on the rock deformation. We present results from a two-dimensional coupled hydro-mechanical model which simulates large time and spatial scale dynamic fracturing and healing of a porous medium under the influence of gravity, tectonic stretching and elevated fluid pressures. Our results show that healing decreases the local porosi…

3D fractional viscoelasticity with applications to structural engineering

The stress-strain state and stabilization of viscoelastoplastic, imperfect moving web continuum

2014

On modelling and stability of axially moving viscoelastic materials

2013

Comparison of Post-Weld Treatment of High-Strength Steel Welded Joints in Medium Cycle Fatigue

2010

This paper presents a comparison of three post-weld treatments for fatigue life improvement of welded joints. The objective is to determine the most suitable post-weld treatment for implementation in mass production of certain crane components manufactured from very high-strength steel. The processes investigated are: burr grinding, TIG dressing and ultrasonic impact treatment. The focus of this investigation is on the so-called medium cycle area, i.e. 10 000-500 000 cycles and very high stress ranges. In this area of fatigue design, the use of very high strength steel becomes necessary, since the stress range can exceed the yield-strength of ordinary structural steel, especially when consi…