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The presence of cuts in a thin planar sheet can dramatically alter its mechanical and geometrical response to loading, as the cuts allow the sheet to deform strongly in the third dimension. We use numerical experiments to characterize the…

Soft Condensed Matter · Physics 2021-12-28 Gaurav Chaudhary , Lauren Niu , Marta Lewicka , Qing Han , L Mahadevan

This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The development of materials with specific properties is of huge…

Optimization and Control · Mathematics 2019-07-16 Marc Dambrine , Helmut Harbrecht

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

The microcanonical analysis is shown to be a powerful tool to characterize the protein folding transition and to neatly distinguish between good and bad folders. An off-lattice model with parameter chosen to represent polymers of these two…

Statistical Mechanics · Physics 2009-11-13 J. Hernández-Rojas , J. M. Gomez Llorente

The packing of elastic sheets is investigated in a quasi two-dimensional experimental setup: a sheet is pulled through a rigid hole acting as a container, so that its configuration is mostly prescribed by the cross-section of the sheet in…

Classical Physics · Physics 2009-11-13 Stephanie Deboeuf , Mokhtar Adda-Bedia , Arezki Boudaoud

We develop and analyze a variational model for multi-ply (i.e., multi-layered) paperboard. The model consists of a number of elastic sheets of a given thickness, which -- at the expense of an energy per unit area -- may delaminate. By…

Analysis of PDEs · Mathematics 2021-10-19 Patrick Dondl , Sergio Conti , Julia Orlik

A stratified space is a kind of topological space together with a partition into smooth manifolds. These kinds of spaces naturally arise in the study of singular algebraic varieties, symplectic reduction, and differentiable stacks. In this…

Differential Geometry · Mathematics 2024-01-17 Ethan Ross

An one-dimensional finite element model of a sandwich panel with insert is derived using the approach used in the Thomsen model. The one-dimensional model produces results that are close to those of a two-dimensional axisysmmetric model.…

Materials Science · Physics 2010-09-29 Biswajit Banerjee , Bryan Smith

Granular crystallisation is an important phenomenon whereby ordered packing structures form in granular matter under vibration. However, compared with the well-developed principles of crystallisation at the atomic scale, crystallisation in…

Disordered Systems and Neural Networks · Physics 2018-05-22 Weijing Dai , Joerg Reimann , Dorian Hanaor , Claudio Ferrero , Yixiang Gan

We introduce a practical robotics solution for the task of heterogeneous bagging, requiring the placement of multiple rigid and deformable objects into a deformable bag. This is a difficult task as it features complex interactions between…

The homogenized stiffnesses of a corrugated plate are calculated by solving the periodicity cell problem of the homogenization theory by using two-steps dimension reduction procedure. The three-dimensional periodicity cell problem first…

Classical Physics · Physics 2018-11-22 A. A. Kolpakov , A. G. Kolpakov

Coarse-grained models are a core computational tool in theoretical chemistry and biophysics. A judicious choice of a coarse-grained model can yield physical insight by isolating the essential degrees of freedom that dictate the…

Statistical Mechanics · Physics 2023-04-12 Shriram Chennakesavalu , David J. Toomer , Grant M. Rotskoff

In both nature and engineering, loosely packed granular materials are often compacted inside confined geometries. Here, we explore such behaviour in a quasi-two dimensional geometry, where parallel rigid walls provide the confinement. We…

Soft Condensed Matter · Physics 2015-05-29 Benjy Marks , Bjørnar Sandnes , Guillaume Dumazer , Jon Alm Eriksen , Knut Jørgen Måløy

Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. However, it has a worst case complexity doubly exponential in…

Symbolic Computation · Computer Science 2019-11-25 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson

From understanding the sand on the beach to the foam on your beer, soft sphere simulations have been crucial to the study of the amorphous world around us. However, many of the materials we interact with on a daily basis aren't comprised of…

Soft Condensed Matter · Physics 2024-03-18 R. C. Dennis

We identify putative load-bearing structures (bridges) in experimental colloidal systems studied by confocal microscopy. Bridges are co-operative structures that have been used to explain stability and inhomogeneous force transmission in…

Soft Condensed Matter · Physics 2010-06-18 Matthew C. Jenkins , Mark D. Haw , Gary C. Barker , Wilson C. K. Poon , Stefan U. Egelhaaf

Bond graph is a unified graphical approach for describing the dynamics of complex engineering and physical systems and is widely adopted in a variety of domains, such as, electrical, mechanical, medical, thermal and fluid mechanics.…

Logic in Computer Science · Computer Science 2021-11-25 Ujala Qasim , Adnan Rashid , Osman Hasan

The shear strength of a pre-cracked sandwich layer is predicted, assuming that the layer is linear elastic or elastic-plastic, with yielding characterized by either J2 plasticity theory or by a strip-yield model. The substrates are elastic…

Materials Science · Physics 2020-01-08 E. Martínez-Pañeda , I. I. Cuesta , N. A. Fleck

Computational studies of basic models of strongly-correlated electron systems can provide guidance in the search for new materials as well as insight into the physical mechanisms responsible for their properties. Here, we illustrate this by…

Strongly Correlated Electrons · Physics 2009-11-07 D. J. Scalapino

Static granular packings are model hard-sphere glass formers. The nature of glass transition has remained a hotly debated issue. We review recent experimental progresses in using granular materials to study glass transitions. We focus on…

Soft Condensed Matter · Physics 2017-03-08 Yujie Wang