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SUMMARY:On the passage from nonlinear to linearized viscoelasticity - Mart
 in Kruzik (Academy of Sciences of the Czech Republic\; Czech Technical Uni
 versity)
DTSTART:20190213T160000Z
DTEND:20190213T164000Z
UID:TALK120280@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We formulate a quasistatic nonlinear model for nonsimple visco
 elastic materials at a nite-strain setting in the Kelvin`s-Voigt`s rheolog
 y where the viscosity stress tensor complies with the principle of time-co
 ntinuous frame-indi&#11\;erence. We identify weak solutions in the nonline
 ar framework as limits of time-incremental problems for vanishing time inc
 rement. Moreover\, we show that linearization around the identity leads to
  the standard system for linearized viscoelasticity and that solutions of 
 the nonlinear system converge in a suitable sense to solutions of the line
 ar one. The same property holds for time-discrete approximations and we pr
 ovide a corresponding commutativity result. This is a joint work with M. F
 riedrich (M&#127\;unster).<br>
LOCATION:Seminar Room 2\, Newton Institute
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