تقرير
Ductile fracture modeling by phase field, Hencky strain elasticity and finite J2 plasticity using nonlocal operator method
| العنوان: | Ductile fracture modeling by phase field, Hencky strain elasticity and finite J2 plasticity using nonlocal operator method |
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| المؤلفون: | Ren, Huilong, Zhuang, Xiaoying, Rabczuk, Timon |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Materials Science, Mathematics - Numerical Analysis |
| الوصف: | A phase field model for ductile fracture considering Hencky strain and finite J2 plasticity is presented using the nonlocal operator method. A variational derivation of J2 plasticity at finite strain with a phase field model is performed. The method includes a logarithmic strain tensor and an exponential mapping in the plasticity evolution. A spectral decomposition based algorithm for computing the first and second order derivatives of the composite matrix function is implemented. A consistent tangential stiffness matrix is derived and used in Newton-Raphson iterations. Several numerical examples are performed to validate the method, including notched single-edged plates with brittle fracture or ductile fracture and necking of a bar with/without phase field model. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.13783 |
| رقم الأكسشن: | edsarx.2302.13783 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |