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A J-integral estimation method for C(T) specimens using the common format equation. (English) Zbl 1196.74248

Summary: A new \(\mathcal J\) estimation scheme based on the Common Format Equation (CFE) is laid out for Compact Tension (C(T)) specimens. In this context, the CFE constraint factor \(\Omega ^*\), originally given only for the two limits plane stress, and plane strain, is discussed. A nonlinear finite element analysis of the behaviour of blunt notched \(C(T)\) specimens with varying crack length was performed. The specimen thickness \(B\) has been varied from 3.125 up to 25 mm. Furthermore the special cases plane stress and plane strain have been considered. Considering a linear elastic - ideal plastic material, a limit load analysis has been performed numerically from which \(\Omega ^*\) has been obtained as a function of the ligament-to-thickness-ratio \(B/b\). The \(\mathcal J\) -integral as a function of the load line displacement \(v\) has been determined for isotropic, nonlinear hardening material, where \({\mathcal J}\) has been calculated using its definition as contour or surface integral, respectively. It is shown that if the obtained \({\mathcal J}(v)\) curves are normalized according to the Common Format Methodology, all curves fall approximately into one single curve. This allows to estimate \(J(v)\) curves for C(T) specimens using the CFE.

MSC:

74R20 Anelastic fracture and damage
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

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References:

[1] ASTM E1820-99 (2003). Standard Test Method for Measurement of Fracture Toughness. Anual Book of Standards, Vol 03.01.
[6] Donoso, J. R. and Landes, J. D. (2000). A unifying principle for evaluating fracture thoughness in the elastic and plastic regimes with planar fracture specimens. In: Fatigue and Fracture Mechanics ASTM STP 1360, (edited by Paris P. C., Jerina K. L.) pp. 34–50.
[7] Ernst, H. A., Paris, P. C. and Landes, J. D. (1981). Estimations on J-Integral and tearing modulus T from a single specimens record. In: Fracture Mechanics ASTM STP 743, (edited by Roberts R.) pp. 476–502.
[11] Hibbit, Carlson & Soerensen Inc. (2000). Abaqus V. 6.1 Standard User Manuals.
[14] Kumar V., German M.D. and Shih C.F. (1981). An Engineering Approach for Elastic-Plastic Fracture Analysis. NP 1931, EPRI Project 1237-1, July.
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