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math.AP2021
Nonlinear dynamic fracture problems with polynomial and strain-limiting constitutive relations
Victoria Patel
We extend the framework of dynamic fracture problems with a phase-field approximation to the case of a nonlinear constitutive relation between the Cauchy stress tensor $ \mathbb{T}…
math.AP2020
Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We consider a system of evolutionary equations that is capable of describing certain viscoelastic effects in linearized yet nonlinear models of solid mechanics. The essence of the…
math.AP2020
Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We prove the existence of a unique large-data global-in-time weak solution to a class of models of the form for viscoelast…