A Mathematical Approach to Establishing Constitutive Models for Geomaterials | Zendy

Guanghua Yang | Zendy; Yuxin Jie | Zendy; Guangxin Li | Zendy

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A Mathematical Approach to Establishing Constitutive Models for Geomaterials

Author(s) -

Guanghua Yang,

Yuxin Jie,

Guangxin Li

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/739068

Subject(s) - constitutive equation , stress space , mathematical theory , space (punctuation) , principal stress , point (geometry) , expression (computer science) , mathematics , principal (computer security) , cauchy elastic material , stress (linguistics) , calculus (dental) , mathematical analysis , computer science , finite element method , geometry , cauchy stress tensor , structural engineering , physics , engineering , medicine , linguistics , philosophy , dentistry , quantum mechanics , programming language , operating system

The mathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from the mathematical point of view, that is, the expression of stress-strain relationship in principal stress/strain space being transformed to the expression in six-dimensional space. A new framework is then established according to the mathematical theory of vectors and tensors, which is applicable to establishing elastoplastic models both in strain space and in stress space. Traditional constitutive theories can be considered as its special cases. The framework also enables modification of traditional constitutive models

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