Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
Scanning and Scoping of Values and Valuing in Mathematics Education [PDF]
Although the ideas of values and valuing have been totemic notions in education for forever, when applied to mathematics they become quite problematic. Even today for many mathematic teachers and learners, mathematics is a value-free space. For them, school mathematics is learning the skills of manipulating numbers before moving to the more abstract ...
Wee Tiong Seah+2 more
openaire +2 more sources
Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani+2 more
wiley +1 more source
Teaching mental mathematics from level 5 (National Strategies; Secondary) [PDF]
An introduction to a set of materials describing teaching approaches that can be used to develop mental mathematics abilities beyond level 5, covering number, algebra, geometry and statistics.
core
Geometry, EFE's and Foundations for Brane Cosmology
I argue that GR Cauchy and Initial Value Problem mathematics is a valuable source of ideas for braneworlds based on higher-dimensional Einstein field equations.Comment: 2 pages, to appear in Proceedings of Rio de Janeiro 2003 Marcel Grossmann ...
Anderson, E.
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Exploring the front end of New Zealand curriculum in student teacher education: an example from language and mathematics education. [PDF]
This paper reports on two components of a collaborative project conducted by members of the language and literacy education, mathematics education and social studies teaching teams at the Faculty of Education, The University of Waikato. The teams decided
Bailey, Judy+5 more
core +2 more sources
A Case‐Based Reasoning Approach to Model Manufacturing Constraints for Impact Extrusion
A hybrid modeling approach is presented that combines constraint‐based process modeling and case‐based reasoning. The model formalizes manufacturing constraints and integrates simulation data to model complex manufacturing processes. The approach supports manufacturability analysis during product design through an adaptive modeling environment.
Kevin Herrmann+5 more
wiley +1 more source
Simulation of Inhomogeneous Refractive Index Fields Induced by Hot Tailored Forming Components
This article presents a simulation model for simulating inhomogeneous refractive index fields (IRIF) in hot‐forged components, accounting for thermal influences and complex geometries. Through this simulation, a priori knowledge about the propagation of the IRIF can be obtained, allowing for the positioning of the component or an optical measurement ...
Pascal Kern+3 more
wiley +1 more source
Culturally and Linguistically Responsive Noticing and Wondering: An Equity-Inducing yet Accessible Teaching Practice [PDF]
Noticing and Wondering is a promising practice with an emerging research base in mathematics education for helping move teachers to a more contemporary paradigm of learning where culturally and linguistically diverse students have more equitable ...
Delavan, M. Garrett, Matranga, Anthony
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A Novel Simulation Approach for Damage Evolution during Tailored Forming
Traditional damage models are struggling to accurately and efficiently simulate large‐scale three‐dimensional models with a great number of degrees of freedoms. A new gradient‐enhanced damage model based on the extended Hamilton principle can significantly reduce the computation time while ensuring mesh‐independence which is suitable to use in tailored
Fangrui Liu+2 more
wiley +1 more source