scholarly journals Numerical analysis of the elastic-plastic behavior of a tubular structure in FGM under pressure and defect presence

2021 ◽  
Vol 16 (59) ◽  
pp. 212-231
Author(s):  
Kouider Madani ◽  
A. Houari ◽  
A.S. Bouchikhi ◽  
M. Mokhtari
Keyword(s):  
Equivalent Stress ◽  
Functionally Graded ◽  
Plastic Behavior ◽  
Graded Materials ◽  
Plastic Properties ◽  
Cylindrical Structures ◽  
Elastic Plastic ◽  
The Many ◽  
Von Mises ◽  
Micro Cavity

Given the field of application and the many advantages, the use of FGM (Functionally Graded Materials) materials has recently been extended in several components and more particularly in cylindrical structures, which have been the subject of several recent studies. Our work aims to use the finite element method to analyze a cylindrical structure in FGM with properties gradated in the direction of the radius (Thickness) solicited purely in internal pressure by the implementation of a UMAT subroutine in the calculation code ABAQUS. The elasto-plastic behavior of the FGM is described by the flow theory represented by the equivalent stress of Von Mises and an incremental hardening variable. The TTO model (Tamura-Tomota-Ozawa) was used only to determine the elastic-plastic properties of the FGM material. The radial, tangential and axial stresses according to the thickness were evaluated in the first part of our work. In the second part, these stresses are evaluated under the same conditions but with the presence of a micro-cavity. The results obtained show clearly that these stresses are in direct relation not only with the thickness and properties of the FGM tube but also with the presence of the cavity.

The Elastic-Plastic Analysis of Functionally Graded Plate

2013 ◽  
Vol 275-277 ◽  
pp. 1040-1044
Author(s):  
Li Zhang ◽  
Yong Qi Yang ◽  
Xian Bin Tao
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Flexible Design ◽  
Functionally Graded Plate ◽  
Graded Materials ◽  
Plastic Properties ◽  
Plastic Design ◽  
Continuous Structure ◽  
Elastic Plastic ◽  
Plastic Analysis

The elastic and plastic properties of functionally graded materials in our model are assumed to abide by the mixing law and a program package is developed based on the material subroutines in ABAQUS. Using this package, an elastic-plastic analysis is performed to study a plate made of functionally graded materials. Results of a flexible design and an elastic-plastic design, and those of a continuous structure and a layered structure are compared. It is found that the elastic-plastic design is more reasonable than the flexible design and the continuous structure is more in line with the design concept of functionally graded materials.

Thermo-Elasto-Plastic Analysis of Thick-Walled Spherical Pressure Vessels Made of Functionally Graded Materials

2016 ◽  
Vol 08 (04) ◽  
pp. 1650054 ◽  
Author(s):  
Zeinab Mazarei ◽  
Mohammad Zamani Nejad ◽  
Amin Hadi
Keyword(s):  
Heat Flux ◽  
Functionally Graded Materials ◽  
Poisson’S Ratio ◽  
Pressure Vessels ◽  
Functionally Graded ◽  
Material Behavior ◽  
Poisson's Ratio ◽  
Uniform Heat Flux ◽  
Plastic Behavior ◽  
Graded Materials

An exact closed-form analytical solution is presented to solve the thermo-elasto-plastic problem of thick-walled spherical vessels made of functionally graded materials (FGMs). Assuming that the inner surface is exposed to a uniform heat flux, and that the outer surface is exposed to an airstream. The heat conduction equation for the one-dimensional problem in spherical coordinates is used to obtain temperature distribution in the sphere. Material properties are graded in the thickness direction according to a power law distribution, whereas the Poisson’s ratio is kept constant. The Poisson’s ratio due to slight variations in engineering materials is assumed constant. The plastic model is based on von Mises yield criterion and its associated flow rules under the assumption of perfectly plastic material behavior. For various values of inhomogeneity constant, the so-obtained solution is then used to study the distribution of limit heat flux, displacement and stresses versus the radial direction. Moreover, the effect of increasing the heat flux and pressure on the propagation of the plastic zone are investigated. Furthermore, the effect of change in Poisson’s ratio on the value of the critical material parameter is demonstrated. The present study is also validated by comparing the numerical results for thick elasto-plastic spherical shells available in the literature. To the best of the authors’ knowledge, in previous studies, exact thermo-elasto-plastic behavior of FGM thick-walled sphrical pressure vessels has not investigated.

Dynamic Behavior of FGM Doubly Curved Panel due to Mechanical Loading

2019 ◽  
Vol 950 ◽  
pp. 200-204
Author(s):  
Guang Ping Zou ◽  
Nadiia Dergachova
Keyword(s):  
Mechanical Loading ◽  
Volume Fraction ◽  
Equivalent Stress ◽  
Functionally Graded ◽  
Excitation Mode ◽  
Simply Supported ◽  
Curved Panel ◽  
Von Mises Equivalent Stress ◽  
Von Mises ◽  
Doubly Curved

This study presents the dynamic response analyze of a simply supported and isotropic functionally graded (FG) double curved panel under mechanical loading. The aim of the research was to investigate mechanical behavior in a FGM curved panel due to different excitation mode of dynamic loading. The novelty of this research is an investigation of von Mises equivalent stress distribution in double curved panel due to different excitation mode. Computed results are found to agree well with the results reported in the literature. Moreover, influence of volume fraction of the material is studied.

On the calibration of elastic-plastic models for metal-ceramic functionally graded materials

2008 ◽  
Author(s):  
Massimiliano Bocciarelli ◽  
Gabriella Bolzon ◽  
Giulio Maier ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Graded Materials ◽  
Elastic Plastic ◽  
Metal Ceramic

An Analytical Elastic-Plastic Contact Model

2011 ◽  
Author(s):  
M. R. Brake
Keyword(s):  
Yield Criterion ◽  
Plastic Behavior ◽  
Elastic Plastic ◽  
Elastic Regime ◽  
Plastic Regime ◽  
Elastic Process ◽  
New Formulation ◽  
Von Mises ◽  
The Impact ◽  
Force Displacement

This paper presents a new formulation for elastic-plastic contact in the normal direction between two round surfaces that is solely based on material properties and contact geometries. The problem is formulated as three separate domains: the elastic regime, mixed elastic-plastic behavior, and unconstrained (fully plastic) flow. Solutions for the force-displacement relationship in the elastic regime follow from Hertz’s classical solution. In the fully plastic regime, two assumptions are made: that there is a uniform pressure distribution and that there is conservation of volume. The force-displacement relationship in the intermediate, mixed elastic-plastic regime is approximated by enforcing continuity between the elastic and fully plastic regimes. Transitions between the three regimes are determined based on empirical quantities: the von Mises yield criterion is used to determine the initiation of mixed elastic-plastic deformation, and Brinell’s hardness for the onset of unconstrained flow. Unloading from each of these three regimes is modeled as an elastic process with different radii of curvature based on the regime in which the maximum force occurred. Simulation results explore the relationship between the impact velocity and coefficient of restitution. Further comparisons are made between the model, experimental results found in the literature, and other existing elastic-plastic models.

scholarly journals Analytical Modelling of Elastic Interference Fit Joints for Functionally Graded Materials

2019 ◽  
Vol 286 ◽  
pp. 02006
Author(s):  
M. Belhaou ◽  
N. Laghzale
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Circular Cylinders ◽  
Power Functions ◽  
Graded Materials ◽  
Interference Fit ◽  
Long Time ◽  
Cylindrical Parts ◽  
Analytical Development ◽  
Von Mises

For a very long time, fretted assemblies have been made, in particular to provide wooden wheels with a more resistant running surface. Today, shrinking is an operation which consists in making a connection between two cylindrical parts with any material. In this paper, we’re going to apply it for functionally graded materials. This work focuses on the analytical development of the residual stresses when the two assembled parts are circular cylinders and elastic deformation under plane strain condition. Both cylinders are made of functionally graded materials whose volume fractions are power functions of the radius. In order to simplify the calculations, we assume the Poisson’s ration constant. We obtain the theoretical solutions by assuming a uniform strain field within the representative volume element and Von-mises criterion.

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