کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844850 | 908622 | 2006 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density](/preview/png/844850.png)
چکیده انگلیسی
This paper is concerned with the existence of a global attractor for a semiflow governed by the weak solutions to a nonlinear one-dimensional thermoviscoelasticity with a non-convex free energy density. The constitutive assumptions for the Helmholtz free energy include the model for the study of martensitic phase transitions in shape memory alloys. To describe physically phase transitions between different configurations of crystal lattices, we work in a framework in which the strain uu belongs to L∞L∞. New approaches are introduced and more delicate estimates are derived to establish the crucial L∞L∞-estimate of strain uu in deriving the compactness of the orbit of the semiflow and the existence of an absorbing set.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 65, Issue 4, 15 August 2006, Pages 892–917
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 65, Issue 4, 15 August 2006, Pages 892–917
نویسندگان
Yuming Qin, Jianan Fang,