التفاصيل البيبلوغرافية
| العنوان: |
Theoretical Study of Elastic Far-Field Decay from Dislocations in Multilattices |
| المؤلفون: |
Olson, Derek, Ortner, Christoph, Wang, Yangshuai, Zhang, Lei |
| سنة النشر: |
2019 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Analysis of PDEs, 65N12, 74E15, 74G40, 74G65 |
| الوصف: |
We precisely and rigorously characterise the decay of elastic fields generated by dislocations in crystalline materials, focusing specifically on the role of multilattices. Concretely, we establish that the elastic field generated by a dislocation in a multilattice can be decomposed into a continuum field predicted by a linearised Cauchy-Born elasticity theory, and a discrete and nonlinear core corrector representing the defect core. We demonstrate both analytically and numerically the consequences of this result for cell size effects in numerical simulations. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/1910.12269 |
| رقم الانضمام: |
edsarx.1910.12269 |
| قاعدة البيانات: |
arXiv |