Path-independent line integrals for steady-state, two-dimensional thermoelasticity

✍ Scribed by An-Yu Kuo; P. C. Riccardella

• Book ID: 104616159
• Publisher: Springer Netherlands
• Year: 1987
• Tongue: English
• Weight: 417 KB
• Volume: 35
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034535

✦ Synopsis

Three path-independent line integrals J;, M', and L~ are derived for steady-state, two-dimensional thermoelasticity. These integrals are similar to the Jk, M, and L3 presented by Knowles and Sternberg [1], hut include additional terms of either free expansion displacement vector u* or temperature 0 and its conjugate harmonic function ~ in their formulation. These new line integrals enable us to avoid the undesirable area integration [3-8] when calculating the strain energy release rate for crack problems. Application of J;, M', and L' 3 is demonstrated through a sample problem of a constant heat flux disturbed by a finite crack in an infinite plate.