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Оглавление
- 2 Mohamed H. Hendy, Sayed I. El-Attar, Magdy A. Ezzat.pdf
- THERMOELECTRIC VISCOELASTIC SPHERICAL CAVITY WITH MEMORY-DEPENDENT DERIVATIVE
- 3 S.V. Kashtanova, A.V. Rzhonsnitskiy, A.A. Gruzdkov.pdf
- 1. Introduction
- Motivation. The purpose of this article is to develop a new approach to the analytical derivation of the stress state in a cylindrical shell with a circular hole under axial tension. The buckling problem, nonlocal fracture mechanics, and some other pr...
- 2. Formulation of the Problem
- Government equation. The cylindrical shell with a circular hole under axial tension (in 𝒙-coordinate) is considered. A dimensionless parameter that takes into account the curvature of the circular cylinder is ,𝜷-𝟐.=,,𝒓-𝟎-𝟐.,𝟑 ,𝟏−,𝝂-𝟐...-𝟒𝑹...
- Classical approaches discussion. The idea of the expansion by small parameter 𝜷 leads to the representation of the solution through a linear combination of Kirsch's solution and terms depending on 𝜷:
- 3. Our Approach
- 4. Results and Discussion
- References
- Appendix A
- Nomenclature
- 1. Introduction
- 4 Rajneesh Kumar, Poonam Sharma.pdf
- The theory of thermopiezoelectric material was first proposed by Mindlin [6] and derived governing equations of a thermopiezoelectric plate. The physical laws for the thermopiezoelectric material have been explored by Nowacki [7,8]. Sharma [9] investi...
- [9] Sharma MD. Piezoelectric effect on the velocities of waves in an anisotropic piezo-poroelastic medium. Proc. R. Soc. A. 2010;466(2119): 1977-1992.
- [10] Vashishth AK, Sukhija H. Inhomogeneous waves at the boundary of an anisotropic piezo-thermoelastic medium. Acta Mech. 2014;225: 3325-3338.
- [21] Othman MIA. The uniqueness and reciprocity theorems for generalised thermoviscoelasticity with thermal relaxation times. Mech. and Mech. Eng. 2004;7(2): 77-87.
- [22] Kumar R, Prasad R, Mukhopadhyay S. Variational and reciprocal principles in two-temperature generalized thermoelasticity. J. Thermal Stresses. 2010;33: 161-171.
- 5 Naved Akhtar, S. Hasan.pdf
- 1. Introduction
- 2. Circular-arc-crack problem
- 3. Solution of the circular-arc-crack problem
- Subproblem-A and its solution. The problem discussed in this section is related to the case of opening of circular-arc cracks due to remotely applied stresses at the infinite boundary of the plate. These cracks are assumed to be open in mode-I type de...
- Case-I: uniform tensile stress distribution. Consider the boundary of the plate is subjected to uniform remotely applied stress distribution, as shown in Fig. 3. Four circular arc cracks, weaken the plate, open in mode-I type deformation. In this case...
- Case-II: tensile stress distribution at a point. In this section, the case when applied remote stress reduces to a tension 𝒑 acting in the direction, making an angle 𝝃 with 𝒐𝒙-axis as depicted in Fig. 4 will be discussed. In view of that, the boun...
- Subproblem-B and its solution. The study of variable pressure arresting of arc cracks, in an infinite isotropic plate, is the main objective of subproblem-B. Presence of these cracks ,𝐋-𝐢.(𝐢=𝟏,𝟐,𝟑,𝟒) with unified yield zones (,𝚪-𝐣.,𝐣=𝟏,𝟐,…...
- Case of ,𝝈-𝒓𝒓.=𝒔𝒊𝒏𝜽,𝝈-𝒚𝒆.. The yield zones, developed at each crack tip of four circular arc cracks with unified yield zones, are subjected to a variable stress distribution ,𝝈-𝒓𝒓.=,𝐬𝐢𝐧𝜽𝝈-𝒚𝒆. as shown in Fig. 5. To arrest the furth...
- Case of ,𝝈-𝒓𝒓.=,𝒄𝒐𝒔𝜽𝝈-𝒚𝒆.. In this case, rims of the yield zone are subjected to stress distribution ,𝝈-𝒓𝒓.=𝐜𝐨𝐬𝜽,𝝈-𝒚𝒆. and ,𝝈-𝒓𝜽.=0. Pictorial representation for this case is given in Fig. 6.
- Subproblem-A and its solution. The problem discussed in this section is related to the case of opening of circular-arc cracks due to remotely applied stresses at the infinite boundary of the plate. These cracks are assumed to be open in mode-I type de...
- 4. Numerical Study
- Case of ,𝐬𝐢𝐧𝜽𝝈-𝒚𝒆.. The length of yield zones at the crack tip, 𝒂, due to the stress distribution 𝐬𝐢𝐧𝛉,𝛔-𝐲𝐞. is obtained by ensuring the Dugdale hypothesis that the stresses remain finite in the vicinity of the crack. Which is governed...
- Case of 𝐜𝐨𝐬𝜽,𝝈-𝒚𝒆.. The length of developed yield enclaves for the case when yield stress distribution acting on the yield zones is varying as 𝐜𝐨𝐬𝛉,𝛔-𝐲𝐞. obtained in this section using the Dugdale hypothesis. Therefore, using equations (...
- 5. Conclusions
- Appendix B. List of constants
- 12 Naveen Kumar, Deepak Singh, Abhishek et al..pdf
- 1. Introduction
- 2. Experimentation
- 3. Results and Discussion
- 4. Conclusions
- 13 Alexander I. Melker, Maria A. Krupina, Aleksandra N. Matvienko.pdf
- NUCLEATION AND GROWTH OF FULLERENES AND NANOTUBES HAVING FOUR-FOLD SYMMETRY
- Alexander I. Melker1*, Maria A. Krupina2, Aleksandra N. Matvienko3
- 15 A.A. Treschev, E.A. Zhurin.pdf
- DEFORMATION OF A RECTANGULAR PLATE MEDIUM THICKNESS FROM ORTHOTROPIC DIFFERENTLY RESISTANT MATERIAL
- MPM_2021_instructions.pdf
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