Mechanically instructive biomaterials: a synergy of mechanics, materials and biology
Zhenwei Ma, Jianyu Li
Department of Mechanical Engineering, McGill University, Montreal, Canada
In this paper, we formulate a geometric theory of the mechanics of arterial growth. An artery is modeled as a finite-length thick shell that is made of an incompressible nonlinear anisotropic solid. An initial radially-symmetric distribution of finite radial and circumferential eigenstrains is also considered. Bulk growth is assumed to be isotropic. A novel framework is proposed to describe the time evolution of growth, governed by a competition between the elastic energy and a growth energy.
In this paper we study universal deformations in anisotropic Cauchy elasticity. We show that the universality constraints of hyperelasticity and Cauchy elasticity for transversely isotropic, orthotropic, and monoclinic solids are equivalent. This implies that for each of these symmetry classes the universal deformations and the corresponding universal material preferred directions of hyperelastic and Cauchy elastic solids are identical. This is consistent with previous findings for isotropic solids.
The Hamilton-Jacobi equation of classical mechanics is approached as a model reduction of conservative particle mechanics where the velocity degrees-of-freedom are eliminated. This viewpoint allows an extension of the association of the Hamilton-Jacobi equation from conservative systems to general Newtonian particle systems involving non-conservative forces, including dissipative ones. A geometric optics approximation leads to a dissipative Schr¨odinger equation, with the expected limiting form when the associated classical force system involves conservative forces.
A direct and time-saving method is presented in a paper published in the Elsevier journal Engineering Fracture Mechanics. The paper is well-written and really read-worthy. The link to it is:
Extreme Mechanics Letters is pleased to announce the Recipients of the 2025 EML Young Investigator Award
The Executive Committee of the ASME Applied Mechanics Division is pleased to congratulate the recipients of the 2025 Robert M. and Mary Haythornthwaite Foundation* Research Initiation Grants Awards: Prof. Vatsa Gandhi (University of California at Los Angles), Prof. Chase Hartquist (University of Florida), Prof. Junsoo Kim (Northwestern University), Prof. Emily Sanders (Georgia Institute of Technology), and Prof. Angkur JD Shaikeea (California Institute of Technology).
The Executive Committee of the ASME Applied Mechanics Division is pleased to congratulate the recipients of the 2025 Robert M. and Mary Haythornthwaite Foundation Student Travel Awards: Victor Riera Naranjo (Georgia Institute of Technology), Omar M.
The Executive Committee of the ASME Applied Mechanics Division is pleased to congratulate Professor Ruike Renee Zhao, Department of Mechanical Engineering, Stanford University, as the recipient of the 2026 Thomas J. R. Hughes Young Investigator Award.
The Executive Committee of the ASME Applied Mechanics Division is pleased to congratulate Professor Shaofan Li, Professor of Civil and Environmental Engineering at UC Berkeley, as the recipient of the 2026 Ted Belytschko Applied Mechanics Award.
