Lectures on constitutive expressions

G. F. Smith

Displaying similar documents to “Lectures on constitutive expressions”

Integrity basis for a second-order and a fourth-order tensor.

Betten, Josef (1982)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Finite type invariants for cyclic equivalence classes of nanophrases

Yuka Kotorii (2014)

Fundamenta Mathematicae

Similarity:

We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.

Vassiliev Invariants of Doodles, Ornaments, Etc.

Alexander B. Merkov (1999)

Publications de l'Institut Mathématique

Similarity:

General stress-strain relationship of anisotropic bodies and the concept of the transformed strain. (Advanced note)

Zdeněk Sobotka (1964)

Aplikace matematiky

Similarity:

Coupled fields in a piezoelectric body

M. Kopisz (1991)

Applicationes Mathematicae

Similarity:

The Kontsevich integral and re-normalized link invariants arising from Lie superalgebras

Nathan Geer (2014)

Banach Center Publications

Similarity:

We show that the coefficients of the re-normalized link invariants of [3] are Vassiliev invariants which give rise to a canonical family of weight systems.

Supersymmetry classes of tensors

M. Shahryari (2010)

Colloquium Mathematicae

Similarity:

We introduce the notion of a supersymmetry class of tensors which is the ordinary symmetry class of tensors with a natural ℤ₂-gradation. We give the dimensions of even and odd parts of this gradation as well as their natural bases. Also we give a necessary and sufficient condition for the odd or even part of a supersymmetry class to be zero.

A measure-theoretic approach to the invariants of the Selberg class

J. Kaczorowski, A. Perelli (2008)

Acta Arithmetica

Similarity:

Invariants of $B$ -type links via an extension of the Kauffman bracket.

Kulish, P.P., Nikitin, A.M. (2000)

Zapiski Nauchnykh Seminarov POMI

Similarity:

Link invariants from finite racks

Sam Nelson (2014)

Fundamenta Mathematicae

Similarity:

We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.

Meyers's Report of the Theory of Invariants / Franz Meyer (Review).

F. Franklin (1893/94)

Bulletin of the New York Mathematical Society

Similarity:

Covariant derivative of product tensors

Józef Joachim Telega (1972)

Annales Polonici Mathematici

Similarity:

On tensor functions whose gradients have some skew-symmetries

Adriano Montanaro (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Let $V_{n}$ be a real inner product space of any dimension; and let $Q^{α_{1} \dots α_{v}} = {\overset{⌃}{Q}}^{α_{1} \dots α_{v}} (X_{β 1 \dots β_{τ}})$ be a $C^{2}$ -map relating any two tensor spaces on $V_{n}$ . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs $(α_{μ}, β_{η})$ of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these...