DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS

FAN Tianyou

doi:10.6052/1000-0992-11-168

Volume 42 Issue 5

Sep. 2012

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FAN Tianyou. DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS[J]. Advances in Mechanics, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168

Citation:

FAN Tianyou. DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS[J]. Advances in Mechanics, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168

FAN Tianyou. DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS[J]. Advances in Mechanics, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168

Citation:

FAN Tianyou. DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS[J]. Advances in Mechanics, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168

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DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS

doi: 10.6052/1000-0992-11-168

FAN Tianyou^,

School of Physics, Beijing Institute of Technology, Beijing 100081, China

Funds: The project was supported by the National Natural Science Foundation of China (10372016, 10672022).

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Corresponding author: FAN Tianyou
Received Date: 2011-12-01
Rev Recd Date: 2012-07-12
Publish Date: 2012-09-25

Abstract

Abstract

This paper gives an introduction to the development on mathematical theory of elasticity of quasicrystals and some relevant topics, in which the physical framework of elasticity is discussed first, the measuremental data of material constants for quasicrystals in solid phase are one of the most important basis to the theory and applications and are listed in detail. As the fundamental points, the analytic methods and exact solutions for various boundary value or boundary-initial value problems are summarized, the Chinese researchers contributed the effort in this respect. Apart from elasticity, dynamics and plasticity of the novel material are also discussed. At last the paper offers a simple description on a possible theoretical treatment, from the view point of elasticity and hydrodynamics, to quasicrystals in soft matter phase observed very recently.

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References(65)

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