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In this article, we present an extension of this elastic formulation, whereby a thermal stress term is introduced to 'heat' or 'cool' elements as they deform.
We find a variant of the model which, despite being about as simple as the original one, is considerably more accurate in comparison with recent numerical solutions based on FEM and axisymmetric 3D elastic formulation of the problem.
The stronger and less elastic formulation was F3, with 2 : 1 ratio of alginate and hyaluronate.
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Computational simulations involving full three-dimensional hyperelastic formulations with large rotations and two-dimensional hyper elastic formulations with moderate rotations were used to assess the validity of the analytical results.
Finally, this article provides valuable insight by highlighting some technical issues a real-life designer faces when balancing modeling assumptions such as rigid or elastic formulations, proportional or non-proportional damping, and coupling terms in multidimensional joint properties.
Also, using poro-elastic formulations, in-situ stress regime was found to be strike-slip (i.e. SH>Sv>Sh).
This elastic damage formulation is used to formulate an internal variable approximation to viscoelastic damage in the form of a non-linear Kelvin chain.
A nonlinear elastic constitutive formulation is employed to account for the stiffening.
Crucial to the success of any elastic force formulation for the wheel/rail contact problem is the accurate prediction of the location of the contact points.
A linear-elastic theoretical formulation is presented for the complete determination of the state of stress in large thin-walled liquid-filled vessels in the form of multi-segmented spherical shells.
The mechanical behaviour is described by an elastic plastic damage formulation, where damage is responsible for the softening evolution while plasticity accounts for the development of irreversible strains.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com