How to cite this paper
Pestrenin, V., Pestrenina, I & Landik, L. (2019). Restrictions on the stress components in the edge points of the homogeneous elastic body.Engineering Solid Mechanics, 7(3), 229-246.
Refrences
Apel, T., Mehrmann, V., & Watkins, D. (2002). Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures. Computer Methods in Applied Mechanics and Engineering, 191(39-40), 4459-4473.
Andreev, A. V. (2014). Superposition of power-logarithmic and power singular solutions in two-dimensional elasticity problems. PNRPU Mechanics Bulletin, (1), 5-30.
Barut, A., Guven, I., & Madenci, E. (2001). Analysis of singular stress fields at junctions of multiple dissimilar materials under mechanical and thermal loading. International Journal of Solids and Structures, 38(50-51), 9077-9109.
Cook, T. S., & Erdogan, F. (1972). Stresses in bonded materials with a crack perpendicular to the interface. International Journal of Engineering Science, 10(8), 677-697.
Dimitrov, A., Andrä, H., & Schnack, E. (2001). Efficient computation of order and mode of corner singularities in 3D‐elasticity. International Journal for Numerical Methods in Engineering, 52(8), 805-827.
Galadzhiev, S. V., Gogoleva, O. S., Kovalenko, M. D. & Trubnikov, D.V. (2011). Features of the stress state in the finite areas near the corner points of the boundary. Journal on Composite Mechanics and Design, 17(1), 53-60.
He, Z., & Kotousov, A. (2016). On evaluation of stress intensity factor from in-plane and transverse surface displacements. Experimental Mechanics, 56(8), 1385-1393.
Koguchi, H., & Muramoto, T. (2000). The order of stress singularity near the vertex in three-dimensional joints. International Journal of Solids and Structures, 37(35), 4737-4762.
Koguchi, H., & Da Costa, J. A. (2010). Analysis of the stress singularity field at a vertex in 3D-bonded structures having a slanted side surface. International Journal of Solids and Structures, 47(22-23), 3131-3140.
Lee, Y., Jeon, I., & Im, S. (2006). The stress intensities of three-dimensional corner singularities in a laminated composite. International journal of solids and structures, 43(9), 2710-2722.
Mittelstedt, C., & Becker, W. (2006). Efficient computation of order and mode of three-dimensional stress singularities in linear elasticity by the boundary finite element method. International Journal of Solids and Structures, 43(10), 2868-2903.
Paggi, M., & Carpinteri, A. (2008). On the stress singularities at multimaterial interfaces and related analogies with fluid dynamics and diffusion. Applied Mechanics Reviews, 61(2), 020801.
Parton, V. Z., & Perlin, P. I. (1981). Methods of the mathematical theory of elasticity.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2016). Stress-strain state near the wedge top with rigidly fastened sides. PNRPU Mechanics Bulletin, (3), 131-147.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2014). Non-standard problems of homogeneous structural elements with wedge shape features in the plane case. Tomsk State University. Journal of Mathematics and Mechanics, (1), 95-109.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2015). Nonstandard problems for structural elements with spatial composite ribs. Mechanics of Composite Materials, 51(4), 489-504.
Pestrenin, V. M., & Pestrenina, I. V. (2017). Constraints on stress components at the internal singular point of an elastic compound structure. Mechanics of Composite Materials, 53(1), 107-116.
Pestrenin, V., Pestrenina, I. & Landik, L. (2017). Stress state at the vertex of a composite wedge, one side of which slides without friction along a rigid surface. Latin American Journal of Solids and Structures, 14(11), 2067-2088.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2018). Restrictions on stress components in the top of round cone. Tomsk State University. Journal of Mathematics and Mechanics, (52), 89-101.
Shannon, S., Péron, V., & Yosibash, Z. (2015). Singular asymptotic solution along an elliptical edge for the Laplace equation in 3-D. Engineering Fracture Mechanics, 134, 174-181..
Sinclair, G. B. (2004). Stress singularities in classical elasticity–I: Removal, interpretation, and analysis. Applied Mechanics Reviews, 57(4), 251-298.
Shannon, S., Péron, V., & Yosibash, Z. (2014). The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions. Mathematical Methods in the Applied Sciences, 14.
Williams, M. L. (1952). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of applied mechanics, 19(4), 526-528.
Wu, Z. (2006). A method for eliminating the effect of 3-D bi-material interface corner geometries on stress singularity. Engineering fracture mechanics, 73(7), 953-962.
Xu, L. R., & Sengupta, S. (2004). Dissimilar material joints with and without free-edge stress singularities: Part II. An integrated numerical analysis. Experimental mechanics, 44(6), 616-621.
Xu, W., Tong, Z., Leung, A. Y., Xu, X., & Zhou, Z. (2016). Evaluation of the stress singularity of an interface V-notch in a bimaterial plate under bending. Engineering Fracture Mechanics, 168, 11-25.
Andreev, A. V. (2014). Superposition of power-logarithmic and power singular solutions in two-dimensional elasticity problems. PNRPU Mechanics Bulletin, (1), 5-30.
Barut, A., Guven, I., & Madenci, E. (2001). Analysis of singular stress fields at junctions of multiple dissimilar materials under mechanical and thermal loading. International Journal of Solids and Structures, 38(50-51), 9077-9109.
Cook, T. S., & Erdogan, F. (1972). Stresses in bonded materials with a crack perpendicular to the interface. International Journal of Engineering Science, 10(8), 677-697.
Dimitrov, A., Andrä, H., & Schnack, E. (2001). Efficient computation of order and mode of corner singularities in 3D‐elasticity. International Journal for Numerical Methods in Engineering, 52(8), 805-827.
Galadzhiev, S. V., Gogoleva, O. S., Kovalenko, M. D. & Trubnikov, D.V. (2011). Features of the stress state in the finite areas near the corner points of the boundary. Journal on Composite Mechanics and Design, 17(1), 53-60.
He, Z., & Kotousov, A. (2016). On evaluation of stress intensity factor from in-plane and transverse surface displacements. Experimental Mechanics, 56(8), 1385-1393.
Koguchi, H., & Muramoto, T. (2000). The order of stress singularity near the vertex in three-dimensional joints. International Journal of Solids and Structures, 37(35), 4737-4762.
Koguchi, H., & Da Costa, J. A. (2010). Analysis of the stress singularity field at a vertex in 3D-bonded structures having a slanted side surface. International Journal of Solids and Structures, 47(22-23), 3131-3140.
Lee, Y., Jeon, I., & Im, S. (2006). The stress intensities of three-dimensional corner singularities in a laminated composite. International journal of solids and structures, 43(9), 2710-2722.
Mittelstedt, C., & Becker, W. (2006). Efficient computation of order and mode of three-dimensional stress singularities in linear elasticity by the boundary finite element method. International Journal of Solids and Structures, 43(10), 2868-2903.
Paggi, M., & Carpinteri, A. (2008). On the stress singularities at multimaterial interfaces and related analogies with fluid dynamics and diffusion. Applied Mechanics Reviews, 61(2), 020801.
Parton, V. Z., & Perlin, P. I. (1981). Methods of the mathematical theory of elasticity.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2016). Stress-strain state near the wedge top with rigidly fastened sides. PNRPU Mechanics Bulletin, (3), 131-147.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2014). Non-standard problems of homogeneous structural elements with wedge shape features in the plane case. Tomsk State University. Journal of Mathematics and Mechanics, (1), 95-109.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2015). Nonstandard problems for structural elements with spatial composite ribs. Mechanics of Composite Materials, 51(4), 489-504.
Pestrenin, V. M., & Pestrenina, I. V. (2017). Constraints on stress components at the internal singular point of an elastic compound structure. Mechanics of Composite Materials, 53(1), 107-116.
Pestrenin, V., Pestrenina, I. & Landik, L. (2017). Stress state at the vertex of a composite wedge, one side of which slides without friction along a rigid surface. Latin American Journal of Solids and Structures, 14(11), 2067-2088.
Pestrenin, V. M., Pestrenina, I. V., & Landik, L. V. (2018). Restrictions on stress components in the top of round cone. Tomsk State University. Journal of Mathematics and Mechanics, (52), 89-101.
Shannon, S., Péron, V., & Yosibash, Z. (2015). Singular asymptotic solution along an elliptical edge for the Laplace equation in 3-D. Engineering Fracture Mechanics, 134, 174-181..
Sinclair, G. B. (2004). Stress singularities in classical elasticity–I: Removal, interpretation, and analysis. Applied Mechanics Reviews, 57(4), 251-298.
Shannon, S., Péron, V., & Yosibash, Z. (2014). The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions. Mathematical Methods in the Applied Sciences, 14.
Williams, M. L. (1952). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of applied mechanics, 19(4), 526-528.
Wu, Z. (2006). A method for eliminating the effect of 3-D bi-material interface corner geometries on stress singularity. Engineering fracture mechanics, 73(7), 953-962.
Xu, L. R., & Sengupta, S. (2004). Dissimilar material joints with and without free-edge stress singularities: Part II. An integrated numerical analysis. Experimental mechanics, 44(6), 616-621.
Xu, W., Tong, Z., Leung, A. Y., Xu, X., & Zhou, Z. (2016). Evaluation of the stress singularity of an interface V-notch in a bimaterial plate under bending. Engineering Fracture Mechanics, 168, 11-25.