Mechanically instructive biomaterials: a synergy of mechanics, materials and biology
Zhenwei Ma, Jianyu Li
Department of Mechanical Engineering, McGill University, Montreal, Canada
Authors: Abhishek Arora, Caglar Oskay
It is known that the balance laws of hyperelasticity (Green elasticity), i.e., conservation of mass and balance of linear and angular momenta, can be derived using the first law of thermodynamics and by postulating its invariance under superposed rigid body motions of the Euclidean ambient space---the Green-Naghdi-Rivlin theorem. In the case of a non-Euclidean ambient space, covariance of the energy balance---its invariance under arbitrary time-dependent diffeomorphisms of the ambient space---gives all the balance laws and the Doyle-Ericksen formula---the Marsden-Hughes theorem.
J. Datta et al., Generative AI for Discovering Porous Oxide Materials for Next-Generation Energy Storage, Cell Reports Physical Science, 2025 [PDF]
As a type of shape-programmable soft materials, hard-magnetic soft materials (HMSMs) exhibit rapid and reversible deformations under applied magnetic fields, showing promise for soft robotics, flexible electronics, and biomedical devices. The realization of various controllable shape transformations is crucial to the rational design of relevant applications.
We study particle dynamics under curl forces. These forces are a class of non-conservative, non-dissipative, position-dependent forces that cannot be expressed as the gradient of a potential function. We show that the fundamental quantity of particle dynamics under curl forces is a work 1-form. By using the Darboux classification of differential 1-forms on R2 and R3, we establish that any curl force in two dimensions has at most two generalized potentials, while in three dimensions, it has at most three.
This study, motivated by applications in nuclear engineering, examines the fluid-induced vibrations of a flexible inner cylinder concentrically positioned within a rigid outer cylinder, separated by a quiescent Newtonian viscous fluid. Building on our previous work, which focused on forced motions, we extend the theoretical formulation to account for vibrations induced by fluid forces. A new expression for the linear fluid force is derived, introducing a fluid transfer function that depends on key dimensionless numbers such as the aspect ratio, radius ratio, and Stokes number.
Dear Colleagues,
I would like to invite you to attend an upcoming presentation on:
“An Adaptive Spacetime Wavelet Method for Multiscale Problems in Fluid and Solid Mechanics”
at the ORNL Computational Mechanics Seminar, given by Prof. Karel Matouš from University of Notre Dame.
The seminar will be held June 12, 2025, 2-3PM EDT.
