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Chapter
Variational principles for the linear dynamic theory of micropolar viscoelasticity
In the present paper, variational principles for the linear dynamic theory of micropolar viscoelasticity are derived by using J. T. Oden and J. N. Reddy’s method of the inverse problem of the calculus of varia...
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Article
Two simple proofs of Cayley-Hamilton theorem and two representation theorems
In this paper two simple proofs of Cayley-Hamilton theorem are given and by use of Cayley-Hamilton and l'Hopital's two representation theorems concerning tensor functions of an arbitrary second-order tensor ar...
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Article
On various variational principles in nonlinear theory of elasticity
In the present paper functionals for the various possible main variational principles in the nonlinear theory of elasticity are derived from the “full energy principle” and several of them are not found yet in...
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Article
Concerning “various reciprocal theorems and variational principles in the theories of nonlocal micropolar linear elastic mediums
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Article
Constitutive theories for nonlocal micropolar continua with implicity and with multiple interactions
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 interaction...
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Article
On a theory of micropolar protoelastic material bodies and constitutive equations for nonlocal micropolar elastic continua
In this paper the definition of micropolar protoclastic material bodies is given and with the help of the principle of virtual power, the variational principle of those bodies is derived. In terms of that same...
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Article
Various reciprocal theorems and variational principles in the theories of nonlocal micropolar linear elastic mediums
In the first part of our paper, we have extended the concepts of the classical convolution and the “convolution scalar product” given by I. Hlavácěk and presented the concepts of the “convolution vector” and t...
