Historical Review and Fundamentals of Conservation Laws and Energy Release Rates

By Yiheng Chen. 2002

446 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/071cf888eeb7403d25519d5032b40b4d040b111a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. M. Nejati
2. A. Paluszny
3. R. Zimmerman
4. Robert J. Asaro
5. V. Lubarda
6. I. Scheider
7. K. Uenishi
8. J. Rice

Citations in the corpus

• Reliable J-Values - Numerical Aspects of the Path-Dependence of the J-Integral in Incremental Plasticity (2003, methodology): “This first component of the J-vector is the "J-integral" as introduced by RICE and CHEREPANOV into fracture mechanics, defining that the integration contour runs anti-clockwise, i.e. mathematically positive, around the crack tip, J W x n u s jk k j = - [ ] Ú d 2 1 s , d G .”
• The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors (2003, background): “1 Here, the so-called M-integral should not be confused with the M-integral (conservation integral) of Knowles and Sternberg (1972), Budiansky and Rice (1973), and Chang and Chien (2002).”
• T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms (2004, background): “…σij ui,1) nj d , (23) where W is the strain energy density expressed by W = 1 2 σij εij = 1 2 Cijklεklεij , (24) 1Here, the so-called M-integral should not be confused with the M-integral (conservation integral) of Knowles and Sternberg (1972), Budiansky and Rice (1973), and Chang and Chien (2002).”
• Advanced Local Fractional Calculus and Its Applications (2012, unknown): “[255] B.”
• Universal nucleation length for slip-weakening rupture instability under nonuniform fault loading (2003, methodology): “The principal results shown in this appendix can also be obtained, if not necessarily at greater economy, by using the path-independent M integral approach in fracture mechanics [Knowles and Sternberg, 1972; Budiansky and Rice, 1973].”
• A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, background): “Considering a slight imperfection under mode I loading, Cotterell and Rice [32] found that the crack path is stable for negative T -stress, and unstable for positive T -stress.”
• A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes (2015, methodology): “…the average of the energy release rate per unit crack advance at the whole crack front; and (ii) the pointwise value which gives the energy release rate due the extension of the crack front locally at a given point on the crack front (Budiansky and Rice, 1973; DeLorenzi, 1982; Li et al., 1985).”
• Mechanics of Solids and Materials (2006, background): “Budiansky and Rice (1973) interpreted the Lk and M integrals as the energetic forces (potential energy release rates) conjugate to rotation (by erosion/addition of material) and self-similar expansion (erosion) of the traction-free void.”