On exterior boundary value problems in linear elasticity

1958 ◽  
Vol 2 (1) ◽  
pp. 191-196 ◽  
Author(s):  
R. J. Duffin ◽  
Walter Noll
Keyword(s):  
Boundary Value Problems ◽  
Linear Elasticity ◽  
Boundary Value ◽  
Exterior Boundary

scholarly journals Boundary value problems for the Lamé-Navier system in fractal domains

2021 ◽  
Vol 6 (10) ◽  
pp. 10449-10465
Author(s):  
Ricardo Abreu Blaya ◽  
◽  
J. A. Mendez-Bermudez ◽  
Arsenio Moreno García ◽  
José M. Sigarreta ◽  
...  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Value Problems ◽  
Elasticity Theory ◽  
Linear Elasticity ◽  
Clifford Analysis ◽  
Boundary Value ◽  
Representation Formula ◽  
Linear Elasticity Theory ◽  
Fractal Domains

<abstract><p>The aim of this paper is to establish a representation formula for the solutions of the Lamé-Navier system in linear elasticity theory. We also study boundary value problems for such a system in a bounded domain $ \Omega\subset {\mathbb R}^3 $, allowing a very general geometric behavior of its boundary. Our method exploits the connections between this system and some classes of second order partial differential equations arising in Clifford analysis.</p></abstract>

Sign in / Sign up

Export Citation Format

Share Document