کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1703210 1012368 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of adiabatic shear bands in thermo-elasto-viscoplastic materials by using piece-wise discontinuous basis functions
ترجمه فارسی عنوان
تجزیه و تحلیل نوارهای برش آدیاباتیک در مواد ترمو الاستوسیکپلاستی با استفاده از توابع پایه متناوب قطعه
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی

An adiabatic shear band (ASB) is a narrow region of intense plastic deformation that forms when some metallic alloys and some polymers are deformed at high strain rates and there is not enough time for the heat generated by plastic deformations to diffuse away. The study of ASBs is important because an ASB is a precursor to shear/ductile fractures. Initial-boundary-value problems simulating the initiation and propagation of an ASB have been analyzed usually using the finite element method (FEM). Because of the large plastic strains involved, the FE mesh needs to be refined several times to delineate the ASB width. Each refinement requires, in turn, interpolation of data from the previous mesh to the new one which causes a smoothening of the sharp gradients of the deformation fields, and affects characteristics of the ASB. In this paper, we propose the application of the finite element method with piecewise discontinuous basis functions for studying the occurrence of ASBs in simple shearing deformations of a body composed of an isotropic and homogeneous thermo-elastoviscoplastic material. The mathematical model of the problem is defined by a system of coupled nonlinear partial differential equations and an inequality constraint associated with the plastic strain rates admissibility.The computed solution is compared with the converged solution of the problem obtained with the piecewise continuous basis functions in the FEM. It is found that the discontinuous Galerkin method is able to capture well the localization of deformation into narrow regions and gives results that agree with those available in the literature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 38, Issue 23, 1 December 2014, Pages 5367–5381
نویسندگان
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