[BOOK][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Localized ridge wrinkling of stiff films on compliant substrates

J Zang, X Zhao, Y Cao, JW Hutchinson - … of the Mechanics and Physics of …, 2012 - Elsevier
Wrinkling of thin stiff films on thick compliant elastomeric substrates subject to plane strain
compression is considered for cases in which the substrate is pre-stretched prior to film …

The role of nonlinear substrate elasticity in the wrinkling of thin films

JW Hutchinson - … Transactions of the Royal Society A …, 2013 - royalsocietypublishing.org
The role of substrate nonlinearity in the stability of wrinkling of thin films bonded to compliant
substrates is investigated within the initial post-bifurcation range when wrinkling first …

Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections

X Chen, L Chen, S Huang, M Li, X Li - Applied Mathematical Modelling, 2021 - Elsevier
This research aims to investigate the nonlinear vibration of the in-plane bi-directional
functionally graded (BDFG) plate with global and localized geometrical imperfection …

Free vibration of in-plane bi-directional functionally graded materials rectangular plates with geometric imperfections and general elastic restraints

X Chen, Y Lu, Z Wu, Y Shao, X Xue, Y Wu - Aerospace Science and …, 2023 - Elsevier
This research addresses the free vibration performance of bi-directional functionally graded
materials (BDFGMs) rectangular plate with general boundary restraints and geometrical …

Localization in spherical shell buckling

B Audoly, JW Hutchinson - Journal of the Mechanics and Physics of Solids, 2020 - Elsevier
This paper addresses localization of the deformation due to buckling that occurs
immediately following the onset of bifurcation in the axisymmetric buckling of a perfect …

Morphoelastic rods. Part I: A single growing elastic rod

DE Moulton, TH Lessinnes, A Goriely - … of the Mechanics and Physics of …, 2013 - Elsevier
A theory for the dynamics and statics of growing elastic rods is presented. First, a single
growing rod is considered and the formalism of three-dimensional multiplicative …

Effects of periodic and localized imperfections on struts on nonlinear foundations and compression sandwich panels

MA Wadee - International Journal of Solids and Structures, 2000 - Elsevier
Heuristic studies of a strut on an elastic foundation and a strut with a sinusoidally varying
load are extended to include initial geometric imperfections. Examination of various shapes …

Imperfection sensitivity of nonlinear primary resonance behavior in bi-directional functionally graded porous material beam

X Chen, L Chen, Y Lu - Composite Structures, 2021 - Elsevier
This research aims to analyze the imperfection sensitivity in the nonlinear resonance
behavior of bi-directional functionally graded (BDFG) porous beam. The trigonometric and …

Experimentally probing the stability of thin-shell structures under pure bending

F Royer, S Pellegrino - Philosophical Transactions of the …, 2023 - royalsocietypublishing.org
This paper studies the stability of space structures consisting of longitudinal, open-section
thin-shells transversely connected by thin rods subjected to a pure bending moment …