Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics

Summary, in English

We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.

• Författare: Johan Helsing; Gunnar Peters
• Avdelning/ar: Harmonic Analysis and Applications
• Publiceringsår: 1999
• Språk: Engelska
• Sidor: 965-982
• Publikation/Tidskrift/Serie: SIAM Journal on Applied Mathematics
• Volym: 59
• Issue: 3
• Fulltext: - 228 kB; Download statistics
• Länkar: http://www.maths.lth.se/na/staff/helsing/SIAP99.pdf; http://dx.doi.org/10.1137/S0036139998332938
• Dokumenttyp: Artikel i tidskrift
• Förlag: Society for Industrial and Applied Mathematics
• Ämne: Mathematics
• Nyckelord: effective elastic properties; integral equation of Fredholm type; linear elasticity; cracks; composite material; stress intensity factors; numerical methods
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 0036-1399