فهرست مطالب

Solid Mechanics - Volume:14 Issue: 2, Spring 2022

Journal of Solid Mechanics
Volume:14 Issue: 2, Spring 2022

  • تاریخ انتشار: 1401/02/17
  • تعداد عناوین: 8
|
  • K Salmalian, A Alijani *, H Ramezannejad Azarboni Pages 118-130
    The three analytical, finite element and experimental methods are applied to study the nonlinear buckling of cracked columns.  The original aim of this research is to investigate the validity of the common analytical method in an analogy with the experimental method and the finite element method of MATLAB programming-based. The literature review shows that papers applied this analytical method without considering its drawbacks to determine the post-buckling results. Results in the linear part of the analytical method are in close accordance with the two others, while a clear difference in the nonlinear part of the analytical method is observed with the actual results obtained from the experimental tests and numerical results of the finite element method. An in-depth discussion is represented to find out the main reasons of this difference.  The conversion matrix technique in the finite element method and dividing the column into two segments in the analytical method are used to include the crack parameters in relations according to the continuity conditions in the crack tip. An investigation is performed to study the effect of the crack depth and position on the critical buckling load and the post-buckling path.
    Keywords: analytical method, Cracked column, Experimental method, Nonlinear buckling, Finite Element Method
  • M Hassanzadeh, S. E Moussavi Torshizi * Pages 131-146
    Shot-peening is a surface treatments utilized extensively in the industry to enhance the performance of metal parts against fatigue. This paper aimed to find the optimal parameters of the shot-peening process based on the finite elements model and the Taguchi method. The effects of three peening parameters (shot diameter, shot velocity, coverage percentage) are investigated on residual stress and roughness using Taguchi method. A new Taguchi technique is proposed by combining it with desirability function to optimize the shot-peening parameters that simultaneously provide two or more responses in an optimal mode. The results show that the coverage percentage has the most influence on the surface stress and maximum compressive stress whereas the velocity and diameter of the shot are the most effective parameters on the depth of compression stress. The shot velocity is the main factor of the surface roughness due to the shot peening. Through the proposed structure, optimal conditions can be obtained for surface stress and roughness simultaneously with high-coverage and low-velocity. Eventually, results reveal the effectiveness of the proposed strategy in stand point of saving time and cost.
    Keywords: Shot Peening, Taguchi Method, Desirability function, Residual stresses, Roughness
  • M. R Eslami, M Jabbari, A Eskandarzadeh Sabet * Pages 147-170

    Functionally graded materials (FGMs) belong to a noble family of composite material possess material properties varying gradually in a desired direction or orientation. In a past decade, functionally graded materials were remained in an interest of material investigators due to its prominent features, and have extensively used in almost every discipline of engineering which in turn significantly increases the number of research publication of FGM. In this paper the exact elasticity solution for an FGM circular shaft with piezo layers is analysed. piezoelectric layers are homogeneous and the modulus of elasticity for FGM varies continuously with the form of an exponential function. The shear modulus of the non-homogeneous FGM shaft is a given function of the Prandtl’s stress function of considered circular shaft when its material is homogeneous. state equations are derived. The Prandtl’s stress function and electric displacement potential function satisfy all conditions. The shearing  stresses, torsional rigidity, torsional function for FGM layer and shearing  stresses, electric displacements, torsional rigidity, electrical torsional rigidity ,torsional  and electrical potential functions for piezoelectric layers are  obtained. Exact analytical solution for hollow circular cross-section presented. At the end some graphs and conclusions are given.

    Keywords: FGM(functionally graded material), Piezoelectric, Elasticity, Torsion, Cylindrical shaft, Exact solution
  • A Gholami, S. A Jazayeri *, Q Esmaili Pages 171-189

    In this study, the dynamic behavior of the propulsion system of a VLCC (Very Large Crude oil Carrier) ship is investigated using a multi-input multi-output model. In this system the engine ordered speed and the number of active cylinders are assumed as inputs and the dynamic parameters of the engine such as torque and speed are considered as outputs. In this research, the effects of sea wave and wind on the system dynamic behavior have been investigated. In addition, the ship powertrain system is investigated in which the intermediate shaft and propeller shaft are analyzed using lumped parameter method, finite element method, distributed-lumped method and the results of these modeling techniques are compared to the modeling results in which the connecting shafts were considered as rigid body. Comparison of the results shows that there are significant differences between the results of rigid body method and other three types of system modeling. On the other hand, the time required to run the distributed-lumped model is much shorter compared to other methods that are considered in the study for the dynamic behavior of the ship's powertrain systems. On the other hand, the fatigue analysis of the ship power transmission shafts shows that the fatigue life assessment of these shafts is of great importance and should be considered in the design phase.

    Keywords: Ship propulsion system modeling, Distributed-Lumped, Fatigue analysis, MVEM (Mean Value Engine Model), Finite Element
  • A Ajdari * Pages 190-211
    This paper presents a general formulation for an isotropic wedge reinforced by an orthotropic coating involving multiple arbitrarily oriented defects under out of plane deformation. The exact closed form solution of the problem weakened by a screw dislocation in the isotropic wedge is obtained by making use of finite Fourier cosine transform. Also, the closed-form solutions of the out of plane stress and displacement fields are obtained. After that, by making use of a distributed dislocation approach, a set of singular integral equations of the domain involving smooth cavities and cracks subjected to out of plane external loading are achieved. The cracks and cavities are considered to be only in the isotropic wedge. The presented integral equations have Cauchy singularity and must be evaluated numerically. Multiple numerical examples will be presented to show the applicability and efficiency of the presented solution. The geometric and point load singularities of the stress components are obtained and compared with the available data in the literature.
    Keywords: Out of plane, Isotropic wedges, Orthotropic coating, Mode III Stress intensity factor, Hoop stress, Distributed dislocation method
  • M. R Torshizian *, M Boustani Pages 212-220
    Fracture toughness is a criterion to determine the resistance of materials against small longitudinal and peripheral cracks, which can be created in the effect of welding or peripheral effects. Therefore, it is extremely important to scrutiny the factors that impress crack treatment and the way that it grows. In this research, fracture toughness was investigated on the peripheral welding zone in gas and oil transfer pipelines made in steel API X65. The fracture toughness is derived by using two different methods. At first, the three-point bending test method was used on samples that made up of the peripheral welding zone. Then, with a numerical simulation it was calculated by ABAQUS software v6/10. The comparison of experimental results and computer simulation results shows good agreement from two methods. The fracture toughness of the welded zone, obtained in this study, was compared with that of the base metal. The results showed that fracture toughness on the welding zone in gas and oil transfer steel pipelines decreased 43% compared to the base metal. This issue shows that peripheral welding on gas and oil transfer pipelines has more talent for crack growth compared to the base metal.
    Keywords: fracture toughness, Gas, oil pipeline, Three-point bending test, Abaqus Software
  • M.G Sobamowo * Pages 221-251
    In this work, analysis of nonlinear vibration of piezoelectric nanobeam in a thermo-magnetic environment embedded in Winkler, Pasternak, quadratic and cubic nonlinear elastic media for simply supported and clamped boundary conditions is presented. With the considerations of Von- Karman geometric nonlinearity effect and with the aids of nonlocal elasticity theory as well as Euler–Bernoulli beam model, the equation of motion for the nanobeam is derived using Hamilton’s principle. The nonlinear dynamic model is solved using Galerkin-decomposition coupled with iteration perturbation method. From the parametric studies, it is shown that the frequency of the nanobeam increases at low temperatures but decreases at high temperatures. The nonlocal parameter decreases the frequencies of the piezoelectric nanobeam. An increase in the quadratic nonlinear elastic medium stiffness causes a decrease in the first mode of the nanobeam with clamped-clamped supports and an increase in all modes of the simply supported nanobeam at both low and high temperatures. When the magnetic force, cubic nonlinear elastic medium stiffness, and amplitude increase, there is an increase in all mode frequencies of the nanobeam. An increase in the temperature change at high temperature reduces the frequency ratio but at low or room temperature, an increase in temperature change, increases the frequency ratio of the structure nanotube. The significance of this study is evident in the design and applications of nanobeams in thermal and magnetic environments.
    Keywords: Elastic media, magnetic field, Electric Field, Nonlocal elasticity theory, temperature effect, Iteration perturbation method
  • H Djahara *, K Meftah, L Sedira, A Ayadi Pages 252-271
    This paper proposes conforming and nonconforming 20-node hexahedral finite elements. The elements’ formulation stems from the so-called Space Fiber Rotation (SFR) concept, allowing a spatial rotation of three-dimensional virtual fiber within the elements. Adding rotational degrees of freedom results in six degrees of freedom per node (three rotations and three translations) which enhances the approximation of the classical displacement field. The incompatible modes approach has been adopted in the nonconforming element formulation in order to avoid numerical deficiencies associated with the Poisson’s ratio locking phenomenon. The accuracy of the proposed elements is examined through a series of three-dimensions linear elastic benchmarks including beam, plates, and shell structures. The proposed elements were shown to give better results than the standard 20-node hexahedron especially when mesh distortion is applied.  This confirms that the two proposed elements are less sensitive to mesh distortion. The elements also show good performance when compared with analytical and numerical solutions from the literature.
    Keywords: 3D finite element, 20-node hexahedron, Space fiber rotation, High order formulation, Incompatible modes method