Alternative Integration Approaches in the Weight Function Method for Crack Problems
عنوان مقاله: Alternative Integration Approaches in the Weight Function Method for Crack Problems
شناسه ملی مقاله: JR_JACM-7-3_038
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_JACM-7-3_038
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Martin Eder - Department of Wind Energy, Technical University of Denmark, Frederiksborgvej ۳۹۹, ۴۰۰۰ Roskilde, Denmark
Xiao Chen - Department of Wind Energy, Technical University of Denmark, Frederiksborgvej ۳۹۹, ۴۰۰۰ Roskilde, Denmark
خلاصه مقاله:
Martin Eder - Department of Wind Energy, Technical University of Denmark, Frederiksborgvej ۳۹۹, ۴۰۰۰ Roskilde, Denmark
Xiao Chen - Department of Wind Energy, Technical University of Denmark, Frederiksborgvej ۳۹۹, ۴۰۰۰ Roskilde, Denmark
This study proposes two alternative approaches to complement existing integration strategies used in the weight function method for linear elastic crack problems. The first approach is based on an interpolation type integration scheme and the second approach is based on Gauss quadrature. The proposed approaches enable a computationally efficient numerical integration for computing stress intensity factors in ۲D fracture problems. The efficiency is gained through a comparatively low number of integration points facilitated by higher-order approximation. The integration weights only need to be computed once for a given crack length-to-width ratio and can be applied to arbitrary continuous and smooth stress distributions. The proposed approaches show excellent accuracy. In particular, the Gauss quadrature approach exhibits several orders of magnitude more accuracy compared to the most commonly used trapezoidal integration.
کلمات کلیدی: Stress intensity factor, Fracture mechanics, crack length, Singularity, weight function integration
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1249759/