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Vol 21, No 2 (2018)

Article

A Green-Naghdi Model in a 2D Problem of a Mode I Crack in an Isotropic Thermoelastic Plate

Abbas I.A., Alzahrani F.S.

Abstract

In this article, the generalized thermoelastic theory under Green and Naghdi models are used to study the thermoelastic interaction in an isotropic material containing a finite crack inside the material. The crack boundary is due to a prescribed temperature and stress distribution. Based on the Green-Naghdi type II and type III models, the formulation is applied to generalized thermoelasticity with an appropriate choice of parameters. Numerical solutions of the displacement components, temperature, and stress components are obtained using the finite element method. The results have been verified numerically and are represented graphically. Comparisons were made with expected results from Green and Naghdi model of type III and Green and Naghdi model of type II.

Physical Mesomechanics. 2018;21(2):99-103
pages 99-103 views

Compressive Brittle Fracture Prediction in Blunt V-Notched PMMA Specimens by Means of the Strain Energy Density Approach

Torabi A.R., Ayatollahi M.R., Colussi M.

Abstract

The paper aims to examine the suitability of the strain energy density criterion in predicting the fracture behavior of blunt V-notched specimens under compression load. Recent studies on local stress fields have shown that the strain energy density, averaged over a specific control volume which embraces the notch round border, could be a robust parameter in the brittle fracture assessment of several materials. A set of experimental results recently published in the literature on compressive brittle fracture of V-notched specimens made out of polymethyl methacrylate has here been considered. Finite element analyses have been performed on plane strain condition and experimental data have been summarized by means of the SED criterion. It has been shown that the proposed criterion permits a satisfactory evaluation of the fracture load of polymethyl methacrylate specimens weakened by notches having different opening angles and radii.

Physical Mesomechanics. 2018;21(2):104-109
pages 104-109 views

Fracture Assessment of Inclined Double Keyhole Notches in Isostatic Graphite

Salavati H., Alizadeh Y., Ayatollahi M.R.

Abstract

In the present contribution, the static strength of isostatic graphite using keyhole notch specimens under mixed mode loading is investigated. An experimental program was performed and in total, 18 new experimental data are provided. In addition, different loading mode ratios are considered by varying the inclination angle of the notch with respect to the direction of the applied load. The criterion based on the averaged value of the strain energy density over a control volume at the notch edge is applied to assess the static strength of specimens. A sound agreement is found between experimental data and the results obtained from strain energy density criterion.

Physical Mesomechanics. 2018;21(2):110-116
pages 110-116 views

Fractional Order Theory in a Semiconductor Medium Photogenerated by a Focused Laser Beam

Alzahrani F.S., Abbas I.A.

Abstract

In this paper, the fractional order theory has been applied for thermal, elastic and plasma waves to determine the carrier density, displacement, temperature and stress in a semiconductor medium. The thermal, elastic and plasma waves in a semi-infinite medium photogenerated by a focused laser beam were analyzed. The Laplace transformation is used to express the governing equation and solved analytically by applying eigenvalue approach methodology in that domain. A semiconducting material like as silicon was considered. According to the numerical results and graphics, the fractional order parameter and thermal relaxation time may play an important role in the behavior of all physical quantities.

Physical Mesomechanics. 2018;21(2):117-123
pages 117-123 views

Numerical Evaluation of T-stress under Mixed Mode Loading Through the Use of Coarse Meshes

Acanfora M., Gallo P., Razavi S.M., Ayatollahi M.R., Berto F.

Abstract

The present paper investigates the employment of coarse meshes in evaluating the T-stress with the displacement method. Several finite element analyses have been carried out with different mesh refinements and accuracies. Mode I and mixed mode I/II loadings have been considered in finite element analyses. Under mode I loading, single and double edge notched geometries have been considered, while plate with central crack has been considerd for mixed mode loading condition. The analyses are compared with the results by the well-nown stress based approach, and showed that the displacement method permits the evaluation of the T-stress with the employment of coarse meshes. By the way, several precautions must be taken when dealing with coarse and very coarse meshes.

Physical Mesomechanics. 2018;21(2):124-134
pages 124-134 views

A Mode I Crack Problem for a Thermoelastic Fibre-Reinforced Anisotropic Material Using Finite Element Method

Abbas I.A., Razavi S.M.

Abstract

In this article, the theory of generalized thermoelasticity with one relaxation time is used to investigate the thermoelastic fiber-reinforced anisotropic material with a finite linear crack. The crack boundary is due to a prescribed temperature and stress distribution. By using the finite element method, the numerical solutions of the components of displacement, temperature and the stress components have been obtained. Comparisons of the results in the absence and presence of reinforcement have been presented.

Physical Mesomechanics. 2018;21(2):135-139
pages 135-139 views

Effect of Stacking Sequence on Low-Velocity Impact Behavior of Metal Laminates

Khoramishad H., Bagheri Tofighi M., Khodaei M.

Abstract

In this paper, the low-velocity impact behavior of metal laminates was studied experimentally and numerically. Metal laminates with different number of metal layers and different stacking sequences were investigated by examining the contact force, the contact duration, the dissipated energy and the transverse displacement as the main low-velocity impact responses. It was found that from stacking sequence perspective, the low-velocity impact responses of metal laminates were mainly affected by the volume fraction of metal layers, the material characteristics of the first and last metal layers and the number of metal layers. Increasing the number of metal layers in a constant thickness of metal laminates decreased the contact force and increased the contact duration and transverse displacement. The use of higher volume fraction of a metal material in a metal laminate caused the metal laminate to inherit more of the impact characteristics of that material. The results of this research can assist engineers to design metallic structures with desired low-velocity impact behaviors.

Physical Mesomechanics. 2018;21(2):140-149
pages 140-149 views

A Study on Fractional Order Theory in Thermoelastic Half-Space under Thermal Loading

Abbas I.A.

Abstract

In this study, the effect of fractional order derivative on a two-dimensional problem due to thermal shock with weak, normal and strong conductivity is established. The governing equations are taken in the context of Green and Naghdi of type III model (GNIII model) under fractional order derivative. Based on the Laplace and exponential Fourier transformations with eigenvalues approach, the analytical solutions has been obtained. For weak, normal and strong conductivity, the numerical computations for copper-like medium have been done and the results are shown numerically. The graphical results indicate that the effect of fractional order parameter has a major role on all physical quantities involved in the problem.

Physical Mesomechanics. 2018;21(2):150-156
pages 150-156 views

Experimental Study of High Temperature Fracture Behavior of A286 Superalloy at 650°C

Hagh Panahi M., Pirali H.

Abstract

In this paper an experimental work is done for investigation of high temperature fracture properties of A286 superalloy at 650°C. Stress intensity factor K and parameter C* for this superalloy are determined experimentally. For estimation of these parameters, an instrument is developed for investigation of high temperature fracture properties. For estimation of stress intensity factor, compliance method is used. For this purpose four different compact tension specimens are tested and the parameter K is estimated. Creep tests are done for the selected specimens and parameter C* is determined by semiempirical relationships at 650°C. In these tests it is concluded that the specimens are placed near the plane stress condition. Crack growth behavior of this alloy is also studied. High incubation time (600 h) leads to overaging and therefore this alloy after this time showed very ductile creep properties, and fast creep crack growth was the major result of this overaging phenomenon. Finally the obtained results are compared with well-known nonexperimental methods for determination of these parameters. The obtained results showed that the results are in good agreement with each other.

Physical Mesomechanics. 2018;21(2):157-164
pages 157-164 views

Fracture Loads Prediction on Notched Short Glass Fibre Reinforced Polyamide 6 Using the Strain Energy Density

Ibáñez-Gutiérrez F.T., Cicero S., Madrazo V., Berto F.

Abstract

This paper provides an energetic approach useful for the prediction of critical loads on U-notched components without an ideally linear elastic behaviour. The methodology has been applied to 100 fracture specimens of short glass fibre reinforced polyamide 6 (SGFR-PA6), combining four different fibre contents (5, 10, 30 and 50 wt %) and five different notch radii (0.00, 0.25, 0.50, 1.00 and 2.00 mm). The proposal combines the application of the strain energy density criterion with the use of the whole absorbed energy in the tensile test (elastic-plastic area under the stress-strain curve). With all of this, the fracture loads have been well estimated in this type of material.

Physical Mesomechanics. 2018;21(2):165-172
pages 165-172 views

Evolution of Crack Tip Constraint in a Mode II Elastic-Plastic Crack Problem

Ayatollahi M.R., Berto F.

Abstract

Numerous studies have shown that crack tip constraint has an important effect on the level of conservatism when crack extension is investigated in elastic-plastic fracture mechanics. Constraint effect has been explored extensively in the past but mainly for pure mode I problems. Very few researchers have dealt with the effects of crack tip constraint on mode II or mixed mode I/II fracture in metallic materials. In this paper, the evolution of mode II constraint parameter Q in terms of applied external load is determined numerically for a test specimen under pure mode II loading. The finite element method is utilized to model the specimen and to study the range of validity of mode II constraint parameter determined from a Q—T diagram. The parameter Q calculated from the finite element simulation (or from the full field solution) is compared with the values of Q determined from the Q—T diagram. For low levels of load, the results of full field solution are shown to be consistent well with the results obtained from the Q—T diagram. However, when the external load increases significantly, the results of Q—T diagram are no longer accurate and mode II constraint parameter Q should be calculated directly from finite element results.

Physical Mesomechanics. 2018;21(2):173-177
pages 173-177 views

Influence of Cell Topology on Mode I Fracture Toughness of Cellular Structures

Linul E., Serban D.A., Marsavina L.

Abstract

A cellular structure is made up by an interconnected network of beams or plates which forms the edges and faces of cells. This paper proposes three different micromechanical models to determine the fracture toughness values of cellular materials such as rigid polyurethane foams using the finite element micromechanical analysis and Abaqus software. This study was carried out for mode I fracture and fracture toughness was predicted based on linear elastic fracture mechanics. Models of two-dimensional cellular solids with square, hexagonal and circular cells were generated for five different relative densities (0.077, 0.105, 0.133, 0.182 and 0.333). A study of the influence of geometrical parameters on fracture toughness was also conducted. Based on the finite-element simulations, three linear correlations are proposed which could be useful for estimation of fracture toughness values if relative densities are in the considered range of 0.077 (90 kg/m3 density) and 0.333 (390 kg/m3 density). Finally, the authors validate their proposed micromechanical models presenting a comparison of analytical, numerical and experimental results of fracture toughness of cellular materials. It was found that at low relative densities (between 0.077 and 0.333), the proposed micromechanical models predict the fracture toughness values similar to experimental and numerical ones, but they must be used according with the real cellular structure.

Physical Mesomechanics. 2018;21(2):178-186
pages 178-186 views