کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7168899 | 1463035 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A path-following technique implemented in a Lagrangian formulation to model quasi-brittle fracture
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
A path-following strategy based on an energy release criterion is proposed and implemented in an augmented Lagrangian formulation to model localized cohesive cracks. The model is formulated in a rigourous variational framework of continuous spaces. A procedure for the solution of the proposed formulation in a continuous spaces context is also presented. The discrete form of the problem for the implementation within the finite element method is also exposed. The ability and robustness of the proposed method to track equilibrium paths including snap-back phenomenon are analyzed and discussed by means of several numerical tests. The restriction based on an energy release criterion is introduced in the formulation by using a augmented Lagrangian method. The effect of the interpolation order for the Lagrange multiplier (so-called Lagrange field), its influence on the proposed constraint equation and the mesh density dependency are studied and illustrated in the numerical simulations. Different crack patterns are analyzed and some recommendations concerning the interpolation degree that should be used for the Lagrangian field to avoid spurious energy release are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Fracture Mechanics - Volume 194, 1 May 2018, Pages 319-336
Journal: Engineering Fracture Mechanics - Volume 194, 1 May 2018, Pages 319-336
نویسندگان
Nicolás A. Labanda, Sebastián M. Giusti, Bibiana M. Luccioni,