دورية أكاديمية

Advanced finite element analyses to compute the J-integral for delaminated composite plates.

التفاصيل البيبلوغرافية
العنوان: Advanced finite element analyses to compute the J-integral for delaminated composite plates.
المؤلفون: Hauck, Bence1 (AUTHOR) bence.hauck@mm.bme.hu, Szekrényes, András1 (AUTHOR) szeki@mm.bme.hu
المصدر: Applied Mathematical Modelling. Feb2024, Vol. 126, p584-605. 22p.
مصطلحات موضوعية: *DELAMINATION of composite materials, *LAMINATED materials, *ELASTIC plates & shells, *SHEAR (Mechanics), *COMPOSITE plates, *TRANSITION metals, *MATRIX multiplications
مستخلص: This study concerns several possible ways of computing the J-integral in the cases of laminated composite plate structures containing delamination. On the one hand, two special types of plate finite element families are provided for advanced fracture mechanical analyses. On the other hand, a numerical algorithm is introduced also that utilizes results derived from solid element models built in commercial finite element software. In order to create plate elements, the first-order (FSDT) and the third-order shear deformation theories (TSDT) are applied with two equivalent single layers. A subparametric element family is created by using the Hermite interpolation with the FSDT that grants the continuity of the derivatives at the element borders. Besides, an isoparametric family is created also with the TSDT employing the Lagrange interpolation scheme. This paper aims to present the compact formulations of calculating the J-integral around the delamination fronts for both plate element families. The calculation of the J-integral is implemented as a matrix multiplication by taking advantage of the properties of plate transition elements. The models yield improved fracture mechanical analyses for delaminated composite plates with linear elastic material behaviour. In addition, computing the J-integral is not available in most commercial finite element software for laminated orthotropic materials, therefore, an appropriate algorithm is presented here for this purpose. To conclude, the models and algorithms are applied to two case studies and subjected to a comprehensive comparison with analytical and formerly used finite element solutions. • A subparametric FSDT plate element family with granted continuity of the derivatives for delaminated plates. • An isoparametric TSDT plate element family that is appropriate for modelling curved delamination fronts. • A robust algorithm for computing the J-integral numerically in solid element models. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:0307904X
DOI:10.1016/j.apm.2023.11.012