Curl bounds grad on SO(3)

Ingo Münch; Patrizio Neff

Displaying similar documents to “Curl bounds grad on SO(3)”

Coupled fields in a piezoelectric body

M. Kopisz (1991)

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Slab analogy in theory and practice of conforming equilibrium stress models for finite element analysis of plane elastostatics

Miroslav Vondrák (1985)

Aplikace matematiky

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The fundamental problem in the application of the principle of complementary energy is the construction of suitable subsets that approximate the set of all statically admissible fields satisfying both the conditions of equilibrium inside the body and the static boundary conditions. The notion “slab analogy” is motivated and the interface conditions for the Airy stress function are established at the contact of two domains. Some spaces of types of conforming equilibrium stress elements,...

The structure of material forces in electromagnetic materials.

Trimarco, C. (2000)

Rendiconti del Seminario Matematico

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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

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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...

Principle of conservation of momentum, angular momentum and energy for a deformable continuum in an electromagnetic field

M. Kopisz (1991)

Applicationes Mathematicae

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Effective and homogenized coefficients

Duvaut, G. (1982)

Portugaliae mathematica

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Extended Hashin-Shtrikman variational principles

Petr Procházka, Jiří Šejnoha (2004)

Applications of Mathematics

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Internal parameters, eigenstrains, or eigenstresses, arise in functionally graded materials, which are typically present in particulate, layered, or rock bodies. These parameters may be realized in different ways, e.g., by prestressing, temperature changes, effects of wetting, swelling, they may also represent inelastic strains, etc. In order to clarify the use of eigenparameters (eigenstrains or eigenstresses) in physical description, the classical formulation of elasticity is presented,...