caa a22 4500 397499671 CHVBK 20180308164529.0 cr unu---uuuuu 161202e199508 xx s 000 0 eng 10.1093/qjmam/48.3.375 doi (NATIONALLICENCE)oxford-10.1093/qjmam/48.3.375 ON DEFORMATIONS WITH CONSTANT MODIFIED STRETCHES DESCRIBING THE BENDING OF RECTANGULAR BLOCKS [Elektronische Daten] [M. ARON, Y. WANG] On certain loading paths the changes in the total energy associated with the deformations with constant modified stretches are due entirely to volume changes. We illustrate this situation by considering in plane-strain framework the deformations with constant modified stretches that describe the bending of rectangular blocks subject to prescribed boundary displacements. In particular we discuss certain conditions which imply that the total energy, regarded as a function of the deformed volume, V, attains a minimum at a certain value V0 of V. A compressible Varga material and a compressible neo-Hookean material are then used to exemplify our results. © Oxford University Press Articles nationallicence ARON M. School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA aut WANG Y. School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/3(1995-08), 375-387 0033-5614 48:3<375 1995 48 qjmamj https://doi.org/10.1093/qjmam/48.3.375 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/48.3.375 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- ARON M. School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA aut NATIONALLICENCE 700 1- WANG Y. School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/3(1995-08), 375-387 0033-5614 48:3<375 1995 48 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford