184 citations · 634 across the 13 of their papers we have counts for
14 papers
Active shape control by plants in dynamic environments
Hadrien Oliveri, Derek E. Moulton, Heather A. Harrington +1
Plants are a paradigm for active shape control in response to stimuli. For instance, it is well-known that a tilted plant will eventually straighten vertically, demonstrating the i…
Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial
Benjamin J. Walker, Giulia L. Celora, Alain Goriely +2
Tumour spheroids have been the focus of a variety of mathematical models, ranging from Greenspan's classical study of the 1970s through to contemporary agent-based models. Of the m…
Role of kidney stones in renal pelvis flow
C. R. Constante-Amores, L. Kahouadji, J. G. Williams +6
We examine the time-dependent flow dynamics inside an idealised renal pelvis in the context of a surgical procedure for kidney stone removal, extending previous work by Williams et…
The role of topology and mechanics in uniaxially growing cell networks
Alexander Erlich, Gareth W. Jones, Françoise Tisseur +2
In biological systems, the growth of cells, tissues, and organs is influenced by mechanical cues. Locally, cell growth leads to a mechanically heterogeneous environment as cells pu…
A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth
Shiva Rudraraju, Derek E. Moulton, Régis Chirat +2
Mollusk shells are an ideal model system for understanding the morpho-elastic basis of morphological evolution of invertebrates' exoskeletons. During the formation of the shell, th…
Pull-in dynamics of overdamped microbeams
Michael Gomez, Dominic Vella, Derek E. Moulton
We study the dynamics of MEMS microbeams undergoing electrostatic pull-in. At DC voltages close to the pull-in voltage, experiments and numerical simulations have reported `bottlen…
Dynamics of viscoelastic snap-through
Michael Gomez, Derek E. Moulton, Dominic Vella
We study the dynamics of snap-through when viscoelastic effects are present. To gain analytical insight we analyse a modified form of the Mises truss, a single-degree-of-freedom st…
Are homeostatic states stable? Dynamical stability in morphoelasticity
Alexander Erlich, Derek E. Moulton, Alain Goriely
Biological growth is often driven by mechanical cues, such as changes in external pressure or tensile loading. Moreover, it is well known that many living tissues actively maintain…
Post-buckling behaviour of a growing elastic rod
Axel A. Almet, Helen M. Byrne, Philip K. Maini +1
We consider mechanically-induced pattern formation within the framework of a growing, planar, elastic rod attached to an elastic foundation. Through a combination of weakly nonline…
Delayed pull-in transitions in overdamped MEMS devices
Michael Gomez, Derek E. Moulton, Dominic Vella
We consider the dynamics of overdamped MEMS devices undergoing the pull-in instability. Numerous previous experiments and numerical simulations have shown a significant increase in…
Passive control of viscous flow via elastic snap-through
Michael Gomez, Derek E. Moulton, Dominic Vella
We demonstrate the passive control of viscous flow in a channel by using an elastic arch embedded in the flow. Depending on the fluid flux, the arch may `snap' between two states -…
Critical slowing down in purely elastic `snap-through' instabilities
Michael Gomez, Derek E. Moulton, Dominic Vella
Many elastic structures have two possible equilibrium states: from umbrellas that become inverted in a sudden gust of wind, to nano-electromechanical switches, origami patterns and…
The shallow shell approach to Pogorelov's problem and the breakdown of `mirror buckling'
Michael Gomez, Derek E. Moulton, Dominic Vella
We present a detailed asymptotic analysis of the point indentation of an unpressurized, spherical elastic shell. Previous analyses of this classic problem have assumed that for suf…
Dynamics of Snapping Beams and Jumping Poppers
Anupam Pandey, Derek E. Moulton, Dominic Vella +1
We consider the dynamic snapping instability of elastic beams and shells. Using the Kirchhoff rod and Föppl-von Kármán plate equations, we study the stability, deformation modes, a…