Numerical analysis of singular solutions of two-dimensional problems of asymmetric elasticity

Keywords

Singularity, Elasticity (physics), Gravitational singularity, Mathematics, Mathematical analysis

References

• EXPERIMENTAL METHODS FOR STUDY OF COSSERAT ELASTIC SOLIDS AND OTHER GENERALIZED ELASTIC CONTINUARoderic S. Lakes — 1995
• Load-induced stress singularities in the bending of cosserat platesN. J. Pagano, George C. Sih — 1968
• Finite element analysis of two- and three-dimensional static problems in the asymmetric theory of elasticity as a basis for the design of experimentsВ. В. Корепанов, В. П. Матвеенко, И. Н. Шардаков — 2012
• On the singular behavior at the vertex of a bi-material wedgeJ. P. Dempsey, G. B. Sinclair — 1981
• On Fractal Cracks in Micropolar Elastic SolidsArash Yavari, Shahram Sarkani, E. Thomas Moyer — 2002
• Stress singularities in classical elasticity—II: Asymptotic identificationG. B. Sinclair — 2004
• Nonlocal stress field of interface dislocationsK. L. Pan, Naoyuki Takeda — 1998
• The influence of couple-stresses on singular stress concentrations in elastic solidsRokurō Muki, Eli Sternberg — 1965
• Singular stress concentrations in plane Cosserat elasticityStephen C. Cowin — 1969
• Stress singularities in classical elasticity–I: Removal, interpretation, and analysisG. B. Sinclair — 2004
• Edge-Bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear LoadingDavid B. Bogy — 1968
• Boundary problems for elliptic equations in domains with conical or angular pointsВ А Кондратьев — 1967
• Numerical study of two-dimensional problems of nonsymmetric elasticityВ. В. Корепанов, В. П. Матвеенко, И. Н. Шардаков — 2008
• The effects of couple stresses on dislocation strain energyVlado A. Lubarda — 2003
• Theory of ElasticityB. Aadnøy, R. Looyeh — 2019

Cited by

• Numerical analysis of stresses near the vertices of a single and several radial spatial cracksAndrey Fedorov — 2020
• AN ASYMPTOTIC SOLUTION OF THE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION SIMULATING WAVE SCATTERING BY THE INTERFACE STRIP-LIKE CRACKВ.И. Дорошенко, Е. В. Кириллова, Сергей Иванович Фоменко — 2019
• Analysis of an Axisymmetric Cylinder with Variable Thermal Conductivity and Point Loads in a Semi-Infinite Medium Via the Moore-Gibson-Thompson Model of ThermoelasticityVikash Sharma, Dinesh Kumar Sharma, Nantu Sarkar — 2025
• NUMERICAL ANALYSIS OF STRESSES IN THE VICINITY OF INTERNAL SINGULAR POINTS IN POLYMER COMPOSITE MATERIALSA. Fedorov, V. Matveenko — 2018

Related papers

• A novel geometric and analytic technique for the singularity analysis of one-dof planar mechanismsRaffaele Di Gregorio — 2007
• Regulating the P^+ = 0 SingularityGary McCartor — 2000
• Generic mean curvature flows with cylindrical singularities I: the normal forms and nondegeneracyAo Sun, Jinxin Xue — 2022
• Minimal initial data for potential Navier-Stokes singularitiesWalter Rusin, Vladimír Šverák — 2009
• Comments on "Sudden future singularities "A. Kwang-Hua Chu — 2005