Love’s circular patch problem revisited: closed form solutions for transverse isotropy and shear loading
نویسندگان
چکیده
منابع مشابه
Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres
The symmetry method is used to derive solutions of Einstein’s equations for fluid spheres using an isotropic metric and a velocity four vector that is non-comoving. Initially the Lie, classical approach is used to review and provide a connecting framework for many comoving and so shear free solutions. This provides the basis for the derivation of the classical point symmetries for the more gene...
متن کاملClosed Form Solutions for Nonuniform Transmission Lines
In this paper, three analytic closed form solutions are introduced for arbitrary Nonuniform Transmission Lines (NTLs). The differential equations of NTLs are written in three suitable matrix equation forms, first. Then the matrix equations are solved to obtain the chain parameter matrix of NTLs. The obtained solutions are applicable to arbitrary lossy and dispersive NTLs. The validation of the ...
متن کاملClosed-Form Solutions for Robust Inventory Management
Copyright: © 2016 INFORMS Abstract. We propose and analyze robust optimization models of an inventory management problem, where cumulative purchase, inventory, and shortage costs over n periods are minimized for correlated nonidentically distributed demand. We assume that the means and covariance matrix of stochastic demand are known; the distributions are not needed. We derive closed-form orde...
متن کاملClosed-form solutions for physically-based shape modeling and recognition
We present a closed-form, physically based solution for recovering a 3-D solid model from collections of 3-D surface measurements. Given a sufficient number of independent measurements, the solution is overconstrained and unique except for rotational symmetries. We then present a physically based objectrecognition method that allows simple, closed-form comparisons of recovered 3-D solid models....
متن کاملClosed Form Solutions for Linear Differential and Difference Equations
Finding closed form solutions of differential equations has a long history in computer algebra. For example, the Risch algorithm (1969) decides if the equation y′ = f can be solved in terms of elementary functions. These are functions that can be written in terms of exp and log, where “in terms of” allows for field operations, composition, and algebraic extensions. More generally, functions are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1996
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1388022