Weibull stress analysis in local approach to fracture

Abstract As a measure of the probability of cleavage fracture, the Weibull stress within the framework of local approach has the potential capability to predict constraint effects on fracture of structural steels. This paper mainly analyzes Weibull stress considering constraint effect using constraint parameters T-stress and Q. Weibull stress is solved with constraint effects characterized by T-stress for elastic material and Q for elastic plastic material. These solutions are verified with existing solutions for T = 0 and finite element solutions including modified boundary layer models, contact tension models and single-edge bend models. Good agreement has been obtained in all cases. The Weibull stress solutions can be further adopted to predict scale fracture toughness.

[1]  Guian Qian,et al.  Statistical size scaling of breakage strength of irregularly-shaped particles , 2019, Theoretical and Applied Fracture Mechanics.

[2]  Guian Qian,et al.  Comparison of constraint analyses with global and local approaches under uniaxial and biaxial loadings , 2018 .

[3]  J. Correia,et al.  In-situ SEM investigation on fatigue behaviors of additive manufactured Al-Si10-Mg alloy at elevated temperature , 2019, Engineering Fracture Mechanics.

[4]  G. Qian,et al.  Mechanical design and multifunctional applications of chiral mechanical metamaterials: A review , 2019, Materials & Design.

[5]  Guian Qian,et al.  Statistical assessment of notch toughness against cleavage fracture of ferritic steels , 2018 .

[6]  Robert H. Dodds,et al.  An engineering approach to assess constraint effects on cleavage fracture toughness , 2001 .

[7]  Claudio Ruggieri,et al.  Calibration of Weibull stress parameters using fracture toughness data , 1998 .

[8]  A. J. Carlsson,et al.  Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials , 1973 .

[9]  Claudio Ruggieri,et al.  Experimental Study on the Cleavage Fracture Behavior of an ASTM A285 Grade C Pressure Vessel Steel , 2015 .

[10]  Guian Qian,et al.  A statistical model of fatigue failure incorporating effects of specimen size and load amplitude on fatigue life , 2019, Philosophical Magazine.

[11]  Erik Fridell,et al.  The mechanism for NOx storage , 2000 .

[12]  Claudio Ruggieri,et al.  A two-parameter framework to describe effects of constraint loss on cleavage fracture and implications for failure assessments of cracked components , 2003 .

[13]  F. Mudry,et al.  A local approach to cleavage fracture , 1987 .

[14]  C. Shih,et al.  Family of crack-tip fields characterized by a triaxiality parameter—I. Structure of fields , 1991 .

[15]  J. Rice,et al.  Limitations to the small scale yielding approximation for crack tip plasticity , 1974 .

[16]  G. Qian,et al.  Investigation of constraint and warm prestressing effects by means of a local approach to fracture , 2015 .

[17]  Robert H. Dodds,et al.  Numerical investigation of 3-D constraint effects on brittle fracture in SE(B) and C(T) specimens , 1996 .

[18]  Iradj Sattari-Far,et al.  Modification of fracture toughness Master Curve considering the crack-tip Q-constraint , 2017 .

[19]  Rinze Benedictus,et al.  A review of T-stress and its effects in fracture mechanics , 2015 .

[20]  A. Pineau,et al.  A local criterion for cleavage fracture of a nuclear pressure vessel steel , 1983 .

[21]  Xudong Qian,et al.  Cleavage fracture modeling of pressure vessels under transient thermo-mechanical loading , 2008 .

[22]  M. Williams,et al.  On the Stress Distribution at the Base of a Stationary Crack , 1956 .

[23]  Andrew H. Sherry,et al.  COMPENDIUM OF T‐STRESS SOLUTIONS FOR TWO AND THREE DIMENSIONAL CRACKED GEOMETRIES , 1995 .

[24]  Noel P. O’Dowd,et al.  Prediction of cleavage failure probabilities using the Weibull stress , 2000 .

[25]  Z. Zhang,et al.  Effect of experimental sample size on local Weibull assessment of cleavage fracture for steel , 2017 .

[26]  V. I. Kostylev,et al.  Prometey local approach to brittle fracture: Development and application , 2008 .

[27]  T. Sham The determination of the elastic T-term using higher order weight functions , 1991 .

[28]  R. H. Dodds,et al.  An engineering methodology for constraint corrections of elastic–plastic fracture toughness – Part I: A review on probabilistic models and exploration of plastic strain effects , 2015 .

[29]  Xiaosheng Gao,et al.  An investigation of the loading rate dependence of the Weibull stress parameters , 2008 .

[30]  Claudio Ruggieri,et al.  An engineering methodology for constraint corrections of elastic–plastic fracture toughness – Part II: Effects of specimen geometry and plastic strain on cleavage fracture predictions , 2015 .

[31]  V. F. González-Albuixech,et al.  On the temperature independence of statistical model parameters for cleavage fracture in ferritic steels , 2018 .

[32]  C. Shih,et al.  Family of crack-tip fields characterized by a triaxiality parameter—II. Fracture applications , 1992 .

[33]  G. A. Webster,et al.  Weibull Stress Solutions for 2-D Cracks in elastic and Elastic-Plastic Materials , 1998 .