TY - JOUR
T1 - Normal stresses, contraction, and stiffening in sheared elastic networks
AU - Baumgarten, Karsten
AU - Tighe, Brian P.
PY - 2018
Y1 - 2018
N2 - When elastic solids are sheared, a nonlinear effect named after Poynting gives rise to normal stresses or changes in volume. We provide a novel relation between the Poynting effect and the microscopic Grüneisen parameter, which quantifies how stretching shifts vibrational modes. By applying this relation to random spring networks, a minimal model for, e.g., biopolymer gels and solid foams, we find that networks contract or develop tension because they vibrate faster when stretched. The amplitude of the Poynting effect is sensitive to the network's linear elastic moduli, which can be tuned via its preparation protocol and connectivity. Finally, we show that the Poynting effect can be used to predict the finite strain scale where the material stiffens under shear.
AB - When elastic solids are sheared, a nonlinear effect named after Poynting gives rise to normal stresses or changes in volume. We provide a novel relation between the Poynting effect and the microscopic Grüneisen parameter, which quantifies how stretching shifts vibrational modes. By applying this relation to random spring networks, a minimal model for, e.g., biopolymer gels and solid foams, we find that networks contract or develop tension because they vibrate faster when stretched. The amplitude of the Poynting effect is sensitive to the network's linear elastic moduli, which can be tuned via its preparation protocol and connectivity. Finally, we show that the Poynting effect can be used to predict the finite strain scale where the material stiffens under shear.
UR - http://resolver.tudelft.nl/uuid:13a7126a-8052-4174-8f07-a94e17727176
UR - http://www.scopus.com/inward/record.url?scp=85045014698&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.120.148004
DO - 10.1103/PhysRevLett.120.148004
M3 - Article
AN - SCOPUS:85045014698
VL - 120
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 14
M1 - 148004
ER -