TY - JOUR
T1 - Second-order effects in the deformation of elastic bodies
JF - Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
JO - Proc R Soc Lond A Math Phys Sci
SP - 347
LP - 361
M3 - 10.1098/rspa.1954.0163
VL - 224
IS - 1158
AU -
AU -
Y1 - 1954/07/07
UR - http://rspa.royalsocietypublishing.org/content/224/1158/347.abstract
N2 - Using tensor notation general equations are obtained for the solution of problems of finite elastic deformations by successive approximations. Attention is confined to second-order equations for both compressible and incompressible bodies, but further approximations may be obtained if required. The problem of the torsion of a solid of revolution of incompressible material is then considered, and differential equations for this problem are obtained from the general theory. The equations are solved for the special case of a cone.
ER -