Thép nhớ hình từ: mô hình hóa và phân tích cơ nhiệt

Continuum Mechanics and Thermodynamics - Tập 26 - Trang 783-810 - 2014
Tomáš Roubíček1,2, Ulisse Stefanelli3,4
1Mathematical Institute, Charles University, Praha 8, Czech Republic
2Institute of Thermomechanics of the ASCR, Praha 8, Czech Republic
3Istituto di Matematica Applicata e Tecnologie Informatiche Enrico Magenes—CNR, Pavia, Italy
4Faculty of Mathematics, University of Vienna, Vienna, Austria

Tóm tắt

Một mô hình hiện tượng cho hành vi liên kết thermo-điện từ-cơ học và chuyển pha của các hợp kim nhớ hình từ tính được phát triển trong điều kiện biến dạng nhỏ và gần đúng dòng điện xoáy. Hệ thống các phương trình phi tuyến mạnh tương ứng được giải quyết thông qua một phép biến đổi enthalpy tương thích. Một sơ đồ phân rã thời gian hoàn toàn ngụ ý và được chứng minh là ổn định và hội tụ. Đặc biệt, chứng minh hội tụ cho các nghiệm rời rạc cho thấy sự tồn tại của một nghiệm phù hợp yếu, bảo tồn năng lượng cho hệ thống phi tuyến liên tục. Hơn nữa, nhiều mô hình đặc biệt như chuyển đổi ferro/paramagnetic trong các vật liệu ferromagnetic, chuyển đổi martensitic trong các hợp kim nhớ hình, hoặc chỉ là một bài toán thermistor đơn giản được đề cập như các trường hợp đặc biệt.

Từ khóa

#Hợp kim nhớ hình từ #mô hình hóa cơ nhiệt #chuyển pha #phương trình phi tuyến #hội tụ nghiệm

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