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Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including…

Materials Science · Physics 2015-06-03 Roi Harpaz , Eran Bouchbinder

In the field of nonlinear mechanics, many challenging problems (e.g. plasticity, contact, masonry structures, nonlinear membranes) turn out to be expressible as conic programs. In general, such problems are non-smooth in nature (plasticity…

Optimization and Control · Mathematics 2022-02-03 Jeremy Bleyer

Near real-time damage diagnosis of building structures after extreme events (e.g., earthquakes) is of great importance in structural health monitoring. Unlike conventional methods that are usually time-consuming and require human expertise,…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Seyed Omid Sajedi , Xiao Liang

In this paper, we propose a novel non-contact vibration measurement system that is competent in estimating linear and/or rotational motions of machine parts. The technique combines microwave radar, standard camera, and optical strobe to…

Signal Processing · Electrical Eng. & Systems 2020-06-02 Dibyendu Roy , Arijit Sinharay , Brojeshwar Bhowmick , Raj Rakshit , Tapas Chakravarty , Arpan Pal

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

Soft Condensed Matter · Physics 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

Acoustic transparency is the capability of a medium to transmit mechanical waves to adjacent media, without scattering. This characteristic can be achieved by carefully engineering the acoustic impedance of the medium -- a combination of…

Applied Physics · Physics 2021-06-22 Sai Sharan Injeti , Paolo Celli , Kaushik Bhattacharya , Chiara Daraio

An electrical impedance spectroscopy-based nondestructive testing (NDT) method is proposed to image both cracks and reinforcing bars in concrete structures. The method utilizes the frequency-dependent behavior of thin insulating cracks:…

Analysis of PDEs · Mathematics 2018-02-22 Habib Ammari , Jin Keun Seo , Tingting Zhang , Liangdong Zhou

A geometrical interpretation of the $G$-structures associated to elastic material bodies is given. In addition, characterizations of their integrability are obtained. Since the lack of integrability is a geometrical measure of the lack of…

Differential Geometry · Mathematics 2007-05-23 David Marin , Manuel de Leon

Using a geometric formalism of elasticity theory we develop a systematic theoretical method for controlling and manipulating the mechanical response of slender solids to external loads. We formally express global mechanical properties…

Soft Condensed Matter · Physics 2021-05-04 Michal Arieli , Eran Sharon , Michael Moshe

Complexity and heterogeneity of bone tissue require a multiscale modelling to understand their mechanical behaviour and their remodelling mechanism. Human cortical bone structure consists of six structural scale levels which are the…

Medical Physics · Physics 2011-12-07 Abdelwahed Barkaoui , Ridha Hambli

The precise theoretical determination of the geometrical parameters of molecules at the minima of their potential energy surface and of the corresponding vibrational properties are of fundamental importance for the interpretation of…

Strongly Correlated Electrons · Physics 2013-06-19 Andrea Zen , Delyan Zhelyazov , Leonardo Guidoni

Slow dynamic nonlinearity is widely observed in brittle materials with complex heterogeneous or cracked microstructures. It is seen in rocks, concrete and cracked glass blocks. Unconsolidated structures show the behavior as well: aggregates…

Soft Condensed Matter · Physics 2020-07-08 John Y. Yoritomo , Richard L. Weaver

Many modern engineering structures exhibit nonlinear vibration. Characterizing such vibrations efficiently is critical to optimizing designs for reliability and performance. For linear systems, steady-state vibration occurs only at the…

Dynamical Systems · Mathematics 2024-05-02 Justin H. Porter , Matthew R. W. Brake

High-throughput characterization of architected materials across a wide range of length scales enables rapid screening of topologies for engineering applications. Scaled-down specimens manufactured and evaluated in laboratory environments…

Materials Science · Physics 2026-05-05 Vatsa Gandhi , Rishi Kommalapati , Carlos M. Portela , Vikram Deshpande

The design of structures submitted to aerodynamic loads usually requires the development of specific computational models considering fluid-structure interactions. Models using structural frame elements are developed in several relevant…

Fluid Dynamics · Physics 2022-04-25 Mauricio C. Vanzulli , Jorge M. Pérez Zerpa

Numerical solution of the clamped-clamped (C-C) nanoarches based on the non-local theory of elasticity is analysed. The present study is helpful to understand the mechanical behaviour of the nanostructures. The nanoarch under consideration…

Dynamical Systems · Mathematics 2022-12-20 Jaan Lellep , Shahid Mubasshar

The paper deals with the interaction between buckling and resonance instabilities of mechanical systems. Taking into account the effect of geometric nonlinearity in the equations of motion through the geometric stiffness matrix, the problem…

Exactly Solvable and Integrable Systems · Physics 2008-02-07 Alberto Carpinteri , Marco Paggi

In this contribution, typical friction driven structures are summarized and presented considering the mechanical structures and operation principles of different types of piezoelectric motors. A two degree-of-freedom dynamic model with one…

Chaotic Dynamics · Physics 2017-04-05 Weiting Liu , Maoying Zhou , Xiaodong Ruan , Xin Fu

Traditional member-based two-step design approaches included in current structural codes for steel structures, as well as more recent system-based direct-design alternatives, require building rigorous structural reliability frameworks for…

Materials Science · Physics 2021-10-27 Itsaso Arrayago , Kim J. R. Rasmussen , Esther Real

Wood-composite materials are widely used today as they homogenize humidity related directional deformations. Quantification of these deformations as coefficients is important for construction and engineering and topic of current research…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Markus Hofinger , Thomas Pock , Thomas Moosbrugger