TY - JOUR
AU - Paolo Maria, Mariano
AB - Meccanica 39: 77–79, 2004. c 2004 Kluwer Academic Publishers. Printed in the Netherlands. PAOLO MARIA MARIANO Dipartimento di Ingegneria Strutturale e Geotecnica, Universita ` di Roma ‘La Sapienza’, via Eudossiana 18, 00184 Roma, Italy. e-mail: paolo.mariano@uniroma1.it (Received: 5 February 2003) Key words: Material metric, Eshelby tensor, Mutations. A minimal ingredient to model a continuum body is the choice of a regular region B of the Euclidean space E (with n = 1, 2 or 3) as reference place from which the current place of the body can be obtained by means of a sufficiently smooth orientation preserving mapping f: B → E . The current place x of a material element resting at X in B is given by x = f(X) 0 0 and B = f(B ) is a regular region like B . 0 0 In principle, B is endowed with an intrinsic metric γ while another metric g in the ambient space E is relevant for B. The two metrics are not related by f: for instance, the pull-back of g through f, namely f g, is in fact the (0, 2) expression of the right Cauchy–Green deformation T 1 i −1 tensor C = 
TI - Consequences of ‘Changes’ of Material Metric in Simple Bodies
JF - Meccanica
DO - 10.1023/A:1026374716000
DA - 2004-10-21
UR - https://www.deepdyve.com/lp/springer-journals/consequences-of-changes-of-material-metric-in-simple-bodies-9P0QeEPP8o
SP - 77
EP - 79
VL - 39
IS - 1
DP - DeepDyve
ER -