The contact between a rigid Hertzian indenter and an adhesive broad-band viscoelastic substrate is considered. The material behavior is described by a modified power law model, which is characterized by only four parameters, the glassy and rubbery elastic moduli, a characteristic exponent n and a timescale tau0.
In differential geometry, rigidity theory investigates whether a surface can deform by pure bending without stretching. The central problem is to find or disprove the existence of isometric deformations.
Classical examples in the "discrete" category include:
In the "smooth" category, we have:
by Oscar Lopez-Pamies, John E. Dolbow, Gilles A. Francfort, and Chris J. Larsen
Abstract
Our latest paper is accessible freely for 50 days from this link: https://authors.elsevier.com/a/1jiSx7NHxQiuj
Dear colleagues,
We invite you to see the preprint of our new paper Lagrangian approach to origami vertex analysis: Kinematics that will appear in Philosophical Transactions of the Royal Society A. Here we show how the Lagrangian approach to origami facilitates the exploitation of symmetry, formulate reduced order compatibility conditions for some symmetric foldings, and obtain analytical expressions for the kinematics of some degree 6 and degree 8 origami vertices.
In this work, we show that the combination of material quenched disorder (of finite strength/amplitude and correlation length) and a 2D tip-splitting instability (that gives rise to extra fracture surfaces) is at the heart of the spatiotemporal dynamics of cracks in 3D. Specifically, it is shown to account for the widely observed limiting (terminal) velocity of cracks, mirror-mist-hackle sequence of morphological transitions, crack macro-branching and a 3D-to-2D transition, out-of-plane crack front waves and the properties of micro-branches.
Our analysis based on a simple model shows how adhesive friction breaks the size limit dictated by the fracture theory, which can offer insights into understanding the phenomena associated with adhesive friction in various fields, including gecko adhesion, cell adhesion, earthquake, etc.
https://doi.org/10.48550/arXiv.2403.05283
This paper describes a hybrid proper orthogonal decomposition (POD) and artificial neural network (ANN) strategy to construct digital twins of a pressurizer surge line under thermal stratification conditions. The one-way coupled conjugate heat transfer and thermal stress analysis was conducted by use of parametric modeling and the introduction of the inverse distance weighted interpolation for the grid mapping, which allows for the mapped grids to have the same number of nodes regardless of variations of surge line geometries.
With funding from the Haythornthwaite Foundation, the Executive Committee (EC) of the Applied Mechanics Division (AMD) of ASME is pleased to announce the establishment of the Haythornthwaite Research Initiation Grant Program, targeting university faculty engaged in research in theoretical and applied mechanics that are at the beginning of their academic careers.
