Energy Constants Associated with the Nonlinear Theory of Electromagnetic Instabilities

1971 ◽  
Vol 14 (7) ◽  
pp. 1452 ◽  
Author(s):  
Ronald C. Davidson
Keyword(s):  
Nonlinear Theory ◽  
Energy Constants

A nonlinear theory for CFRP strengthened aluminum beam

2015 ◽  
Vol 131 ◽  
pp. 574-577 ◽  
Author(s):  
Fanmao Meng ◽  
Wanxin Li ◽  
Hualin Fan ◽  
Yinzhi Zhou
Keyword(s):  
Nonlinear Theory ◽  
Aluminum Beam

scholarly journals Spherically Symmetric Tensor Fields and Their Application in Nonlinear Theory of Dislocations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 830
Author(s):  
Evgeniya V. Goloveshkina ◽  
Leonid M. Zubov
Keyword(s):  
Nonlinear Theory ◽  
Hollow Sphere ◽  
Tensor Field ◽  
Exact Analytical Solution ◽  
Symmetric Tensor ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Tensor Fields ◽  
Spherically Symmetric Distribution ◽  
Nonlinear Elastic

The concept of a spherically symmetric second-rank tensor field is formulated. A general representation of such a tensor field is derived. Results related to tensor analysis of spherically symmetric fields and their geometric properties are presented. Using these results, a formulation of the spherically symmetric problem of the nonlinear theory of dislocations is given. For an isotropic nonlinear elastic material with an arbitrary spherically symmetric distribution of dislocations, this problem is reduced to a nonlinear boundary value problem for a system of ordinary differential equations. In the case of an incompressible isotropic material and a spherically symmetric distribution of screw dislocations in the radial direction, an exact analytical solution is found for the equilibrium of a hollow sphere loaded from the outside and from the inside by hydrostatic pressures. This solution is suitable for any models of an isotropic incompressible body, i. e., universal in the specified class of materials. Based on the obtained solution, numerical calculations on the effect of dislocations on the stress state of an elastic hollow sphere at large deformations are carried out.

scholarly journals Topology change, emergent symmetries and compact star matter

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Yong-Liang Ma ◽  
Mannque Rho
Keyword(s):  
Nuclear Matter ◽  
Compact Star ◽  
Momentum Tensor ◽  
Effective Field ◽  
Compact Stars ◽  
Strongly Correlated ◽  
Topology Change ◽  
Dense Nuclear Matter ◽  
Skyrmion Matter ◽  
Energy Constants

AbstractTopology effects have being extensively studied and confirmed in strongly correlated condensed matter physics. In the limit of large number of colors, baryons can be regarded as topological objects—skyrmions—and the baryonic matter can be regarded as a skyrmion matter. We review in this paper the generalized effective field theory for dense compact-star matter constructed with the robust inputs obtained from the skyrmion approach to dense nuclear matter, relying on possible “emergent” scale and local flavor symmetries at high density. All nuclear matter properties from the saturation density n0 up to several times n0 can be fairly well described. A uniquely novel—and unorthdox—feature of this theory is the precocious appearance of the pseudo-conformal sound velocity $v^{2}_{s}/c^{2} \approx 1/3$ v s 2 / c 2 ≈ 1 / 3 , with the non-vanishing trace of the energy momentum tensor of the system. The topology change encoded in the density scaling of low energy constants is interpreted as the quark-hadron continuity in the sense of Cheshire Cat Principle (CCP) at density $\gtrsim 2n_{0}$ ≳ 2 n 0 in accessing massive compact stars. We confront the approach with the data from GW170817 and GW190425.

scholarly journals Nonlinear Theory of Continuous Media

1964 ◽  
Vol 31 (2) ◽  
pp. 368-368 ◽  
Author(s):  
A. Cemal Eringen ◽  
P. R. Paslay
Keyword(s):  
Nonlinear Theory ◽  
Continuous Media
Sign in / Sign up

Export Citation Format

Share Document