Our labs are closed and Zoom might have replaced everything from review meetings to pub Fridays, but last week we received some good news! Computational modelling of inertia friction welding, written in collaboration with Dr Simon Bray at Rolls-Royce, was amongst the top 10% of the articles viewed from the 19th volume of the Proceedings of Applied Mathematics and Mechanics (PAMM); Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). This was the first publication for both Ross Williams and Mark Docherty, making this a great start to their publication portfolios and a great achievement for our group as a whole.
We are very pleased to contribute to such an interesting publication and we would encourage all to attend the upcoming 91st GAMM Annual Meeting rearranged for 15th-19th of March 2021 (COVID-19 permitting, of course).
You can find this and all other publications from the MMRG in the publications section of our website.
Accepted publication: An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods
An article co-authored by Dr Andrew McBride, Mebratu Fenta & Daya Reddy has been published in Computer Methods in Applied Mechanics and Engineering.
An efficient time-stepping algorithm is proposed based on operator-splitting and the space-time discontinuous Galerkin finite element method for problems in the non-classical theory of thermoelasticity. The non-classical theory incorporates three models: the classical theory based on Fourier’s law of heat conduction resulting in a hyperbolic-parabolic coupled system, a non-classical theory of a fully-hyperbolic extension, and a combination of the two. The general problem is split into two contractive sub-problems, namely the mechanical phase and the thermal phase. Each sub-problem is discretized using the space-time dis- continuous Galerkin finite element method. The sub-problems are stable which then leads to unconditional stability of the global product algorithm. A number of numerical examples are presented to demonstrate the performance and capability of the method.
You can access the full text via Science Direct by following the link below.
Accepted paper: Computational electro- and magneto-elasticity for quasi-incompressible media immersed in free space
An article co-authored by Dr Andrew McBride and Jean-Paul Pelteret, Denis Davydov, Andrew McBride, Duc Khoi Vu & Paul Steinmann has been published in the International Journal for Numerical Methods in Engineering.
In this work a mixed variational formulation to simulate quasi-incompressible electro- or magneto-active polymers immersed in the surrounding free space is presented. A novel domain decomposition is used to disconnect the primary coupled problem and the arbitrary free space mesh update problem. Exploiting this decomposition we describe a block iterative approach to solving the linearised multiphysics problem, and a physically and geometrically based, three-parameter method to update the free space mesh. Several application-driven example problems are implemented to demonstrate the robustness of the mixed formulation for both electro-elastic and magneto-elastic problems involving both finite deformations and quasi-incompressible media.
You can access the full text via the Wiley Online Library by following the link below.