Singular fields near a sharp V-notch for power law creep material

• Published in: International journal of fracture Vol. 168; no. 2; pp. 159 - 166
• Main Authors: Zhu, Honglai, Xu, Jinquan, Feng, Miaolin
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2011; Springer; Springer Nature B.V
• Subjects: Automotive Engineering; Characterization and Evaluation of Materials; Chemistry and Materials Science; Civil Engineering; Classical Mechanics; Computer simulation; Condensed matter: structure, mechanical and thermal properties; Coordinates; Creep; Creep (materials); Exact sciences and technology; Exponents; Finite element method; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Inelasticity (thermoplasticity, viscoplasticity...); Integrals; Iterative methods; Materials Science; Mathematical analysis; Mathematical models; Mechanical and acoustical properties of condensed matter; Mechanical Engineering; Mechanical properties of solids; Original Paper; Physics; Plane strain; Polar coordinates; Power law; Solid mechanics; Steady state; Stress functions; Structural and continuum mechanics; Singular fields; Runge-Kutta method; Power law creep material; Sharp V-notch; C-integral method; Near field; Steady-state conditions; Transient response; Singularity; Creep; Polar coordinate; Notches; Coordinate system; Steady state; Finite element method; Plane strain; Modelling; Iterative methods; Power law
• DOI: 10.1007/s10704-010-9565-7
• ISSN: 0376-9429

Singular fields near sharp V-notch for power law creep material are examined under plane strain condition. In order to obtain the singular order, stress function is adopted in the control equations under polar coordinate system. C-integral method and iterative scheme are conducted to achieve the singular order in steady state. In transient stage, due to the effect of time parameters, the solution from finite element analysis (FEA) is discussed. The theoretical solution based on the C-integral and iterative method is compared with numerical simulation. Under steady-state condition, the absolute singular order only depends on the creep exponent and the V-notch angle, and becomes large with the decrease of the exponent and the angle. But for the transient, the order corresponds to the time either.