On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites

✍ Scribed by A. C. Gavazzi; D. C. Lagoudas

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 485 KB
• Volume: 7
• Category: Article
• ISSN: 0178-7675
• DOI: 10.1007/bf00370053

✦ Synopsis

A numerical evaluatlon of Eshelby's S tensor for an ellipsoidal inclusion imbedded in a general anisotropic matrlx material is performed. The numerical scheme is valid for any degree of matrix anisotropy and for any aspect ratio of the ellipsold, mcluding the extreme cases of cracks and cylindrical inclusions. The influence of matrix anisotropy on the evaluation of S is tested extensively for cylindrical inclusions by considering plasticity induced anisotropy in the instantaneous properties of an elastic plastlc matrix material. The Mori-Tanaka averaging method is used to study the mfluence of the evaluation of S on the prediction of instantaneous effective properties of fibrous composites with elastic fibres and elastic-plastic matrix.