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Determination of stress coefficient terms in cracked solids for monoclinic materials with plane symmetry at x3 = 0
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Yuan, F. G. |
| Copyright Year | 1998 |
| Description | Determination of all the coefficients in the crack tip field expansion for monoclinic materials under two-dimensional deformation is presented in this report. For monoclinic materials with a plane of material symmetry at x(sub 3) = 0, the in-plane deformation is decoupled from the anti-plane deformation. In the case of in-plane deformation, utilizing conservation laws of elasticity and Betti's reciprocal theorem, together with selected auxiliary fields, T-stress and third-order stress coefficients near the crack tip are evaluated first from path-independent line integrals. To determine the T-stress terms using the J-integral and Betti's reciprocal work theorem, auxiliary fields under a concentrated force and moment acting at the crack tip are used respectively. Through the use of Stroh formalism in anisotropic elasticity, analytical expressions for all the coefficients including the stress intensity factors are derived in a compact form that has surprisingly simple structure in terms of the Barnett-Lothe tensors, L. The solution forms for degenerated materials, orthotropic, and isotropic materials are presented. |
| File Size | 1130389 |
| Page Count | 36 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19990008888 |
| Archival Resource Key | ark:/13960/t18m27s35 |
| Language | English |
| Publisher Date | 1998-10-01 |
| Access Restriction | Open |
| Subject Keyword | Metallic Materials J Integral Crack Tips Stress Analysis Deformation Coefficients Conservation Laws Isotropy Tensors Stress Intensity Factors Anisotropy Elastic Properties Formalism Symmetry Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
