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In this paper we solve the Cattaneo-Vernotte Equation for a periodic heterostructure made of alternate layers of different materials. The solutions describe thermal waves traveling in a periodic system, and it allows us to introduce the…

Mesoscale and Nanoscale Physics · Physics 2020-10-13 A. Camacho de la Rosa , D. Becerril , G. Gómez-Farfán , R. Esquivel-Sirvent

The Mindlin plate equations with the consideration of thickness-shear deformation as an independent variable have been used for the analysis of vibrations of quartz crystal resonators of both rectangular and circular types. The Mindlin or…

Materials Science · Physics 2016-11-17 Ji Wang , Hui Chen , Tingfeng Ma , Jianke Du , Lijun Yi , Yook-Kong Yong

The effects of shear on energy release rate and mode mixity in a symmetric sandwich beam with isotropic layers and a debond crack at the face sheet/core interface are investigated through a semi-analytic approach based on two-dimensional…

Soft Condensed Matter · Physics 2018-03-01 Luca Barbieri , Roberta Massabo , Christian Berggreen

The paper extends the formulation of a 2D geometrically exact beam element proposed in our previous paper [1] to curved elastic beams. This formulation is based on equilibrium equations in their integrated form, combined with the kinematic…

Computational Engineering, Finance, and Science · Computer Science 2022-10-06 Martin Horák , Emma La Malfa Ribolla , Milan Jirásek

A shearing interferometer is presented which uses polarization control to shear the wavefront and to modulate the interference pattern. The shear is generated by spatial walk-off in a birefringent crystal. By adjusting the orientation of…

Optics · Physics 2012-12-11 Peter Beyersdorf , Mark Cordier

Recently, several experiments were reported using ambient vibration surveys in buildings to estimate the modal parameters of buildings. Their modal properties are full of relevant information concerning its dynamic behaviour in its elastic…

Geophysics · Physics 2007-09-27 Clotaire Michel , Stéphane Hans , Philippe Guéguen , Claude Boutin

Thin beams made of magnetorheological elastomers embedded with hard magnetic particles (hard-MREs) are capable of large deflections under an applied magnetic field. We propose a comprehensive framework, comprising a beam model and 3D finite…

Soft Condensed Matter · Physics 2021-07-01 Dong Yan , Arefeh Abbasi , Pedro M. Reis

In this paper, we develop a virtual element method (VEM) of high order to solve the fourth order plate buckling eigenvalue problem on polygonal meshes. We write a variational formulation based on the Kirchhoff-Love model depending on the…

Numerical Analysis · Mathematics 2020-02-19 David Mora , Iván Velásquez

Tethered particle motion (TPM) --- the motion of a micro- or nanoparticle tethered to a substrate by a macromolecule --- is a system that has proven extremely useful for its ability to reveal physical features of the tether, because the…

Biological Physics · Physics 2016-11-23 Koen E. Merkus , Menno W. J. Prins , Cornelis Storm

Large-scale atomistic calculations, using empirical potentials for modeling semiconductors, have been performed on a stressed system with linear surface defects like steps. Although the elastic limits of systems with surface defects remain…

Materials Science · Physics 2007-09-12 Julien Godet , Laurent Pizzagalli , Sandrine Brochard , Pierre Beauchamp

The statistical-thermodynamic dislocation theory developed in our earlier studies is used here in an analysis of the experimental observations of adiabatic shear banding in steel by Marchand and Duffy (1988). Employing a small set of…

Materials Science · Physics 2017-10-17 Khanh Chau Le , Tuan Minh Tran , James S. Langer

Understanding the fundamental mechanisms behind plastic instabilities and shear band formation in amorphous media under applied deformation remains a long-standing challenge. Leveraging on the mathematical concept of topology, we revisit…

Soft Condensed Matter · Physics 2025-07-08 Xin Wang , Jin Shang , Yujie Wang , Jie Zhang , Matteo Baggioli

Underground infrastructure such as pipelines and tunnels can be vulnerable to transient ground deformation (TGD) generated by earthquakes, traffic, and other vibration sources. Current design methods rely on simplified analytical models…

Numerical Analysis · Mathematics 2025-11-26 Gersena Banushi

Microwave impedance microscopy (MIM) has been utilized to directly visualize topological edge states in many quantum materials, from quantum Hall systems to topological insulators, across the GHz regime. While the microwave response for…

Mesoscale and Nanoscale Physics · Physics 2024-01-02 Taige Wang , Chen Wu , Masataka Mogi , Minoru Kawamura , Yoshinori Tokura , Zhi-Xun Shen , Yi-Zhuang You , Monica T. Allen

We conduct an analysis of a one-dimensional linear problem that describes the vibrations of a connected suspension bridge. In this model, the single-span roadbed is represented as a thermoelastic Shear beam without rotary inertia. We…

Analysis of PDEs · Mathematics 2025-01-14 Meriem Chabekh , Nadhir Chougui , Delfim F. M. Torres

Plastic deformation in metallic glasses at room temperature leads to the development of shear bands due to shear localization. In many experiments, shear bands have shown local density variations along their path, with a distinct imbalance…

Disordered Systems and Neural Networks · Physics 2024-07-22 Harald Rösner , Arabinda Bera , Alessio Zaccone

In this work, we investigate the well-posedness, stabilization, and boundary controllability of a linear Rao-Nakra type sandwich beam. The system consists of three coupled equations that represent the longitudinal displacements of the outer…

In this article, we use different models to compute displacements and stresses of a simply supported sandwich beam subjected to a uniform pressure. 8-node quadrilateral elements (Plane 82), multi-layered 8-node quadrilateral shell elements…

Classical Physics · Physics 2012-01-27 Vincent Manet

In this work, we present and analyze a novel stabilized virtual element formulation for the coupled Stokes-Temperature equation on polygonal meshes, employing equal-order element pairs where viscosity depends on temperature. The main…

Numerical Analysis · Mathematics 2025-07-01 Sudheer Mishra , Natarajan E

An isogeometric finite element formulation for geometrically and materially nonlinear Timoshenko beams is presented, which incorporates in-plane deformation of the cross-section described by two extensible director vectors. Since those…

Applied Physics · Physics 2021-07-08 Myung-Jin Choi , Roger A. Sauer , Sven Klinkel