Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions

Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (4): 375-382.

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Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions

戴天民

Southwestern Jiaotong University, Emei, Sichuan

收稿日期:1980-03-20 出版日期:1981-07-18 发布日期:1981-07-18

Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions

Tai Tien-min

Southwestern Jiaotong University, Emei, Sichuan

Received:1980-03-20 Online:1981-07-18 Published:1981-07-18

摘要/Abstract

摘要： In this paper the constitutive theory for nonlocal micropolar continua which was proposed by A. C. Eringen is extended to the cases for nonlocal micropolar continua with implicity and with multiple interactions. Here nonlocal micropolar thermoelastic solids with implicity and with multiple interactions are cited as instances to illustrate the procedure for the establishment of their constitutive theories as well as two relevant theorems concerning the constitutive theories for those solids arc given.

关键词: quadratic and cubic nonlinearities, Normal Form, 1:2 internal resonance

Abstract: In this paper the constitutive theory for nonlocal micropolar continua which was proposed by A. C. Eringen is extended to the cases for nonlocal micropolar continua with implicity and with multiple interactions. Here nonlocal micropolar thermoelastic solids with implicity and with multiple interactions are cited as instances to illustrate the procedure for the establishment of their constitutive theories as well as two relevant theorems concerning the constitutive theories for those solids arc given.

Key words: quadratic and cubic nonlinearities, Normal Form, 1:2 internal resonance

戴天民. Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(4): 375-382.

Tai Tien-min. Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(4): 375-382.

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Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions

Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions

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