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We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (non-dissipative) properties of a hyperelastic dispersive solid, without…

Soft Condensed Matter · Physics 2013-03-12 Michel Destrade , Giuseppe Saccomandi

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

The accelerated inverse design of complex material properties - such as identifying a material with a given stress-strain response over a nonlinear deformation path - holds great potential for addressing challenges from soft robotics to…

Computational Engineering, Finance, and Science · Computer Science 2024-02-02 Jan-Hendrik Bastek , Dennis M. Kochmann

Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in…

Materials Science · Physics 2019-09-25 Henrik Ronellenfitsch , Norbert Stoop , Josephine Yu , Aden Forrow , Jörn Dunkel

The forthcoming communication systems are advancing towards improved flexibility in various aspects. Improved flexibility is crucial to cater diverse service requirements. This letter proposes a novel waveform design scheme that exploits…

Signal Processing · Electrical Eng. & Systems 2019-02-19 Mostafa Ibrahim , Ali Fatih Demir , Huseyin Arslan

Elastic material with its elastic tensor losing minor symmetry is considered impossible without introducing artificially body torque. Here we demonstrate the feasibility of such material by introducing rotational resonance, the amplified…

Classical Physics · Physics 2020-01-08 Hongkuan Zhang , Yi Chen , Xiaoning Liu , Gengkai Hu

We present a practical methodology for inverse design of compact high-order/multiresonance filters in linear passive 2-port wave-scattering systems, targeting any desired transmission spectrum (such as standard pass/stop-band filters). Our…

Applied Physics · Physics 2026-02-11 Mo Chen , Steven G. Johnson , Aristeidis Karalis

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is…

Fluid Dynamics · Physics 2013-09-03 Miguel D. Bustamante , Brenda Quinn

Matter wave interferometry is becoming an increasingly important technique in quantum metrology. However, unlike its photonic counterpart, this technique relies on the interference of particles possessing a non-zero rest mass and an…

Motivated by recent advances in the inverse design of electromagnetic materials, we develop two methods for manipulating flexural waves on thin elastic plates. Firstly, we derive a technique for determining plate pinning or mass-loading of…

Applied Physics · Physics 2023-10-06 James R Capers

Linear transient growth analysis is commonly used to suggest the structure of disturbances which are particularly efficient in triggering transition to turbulence in shear flows. We demonstrate that the addition of nonlinearity to the…

Fluid Dynamics · Physics 2010-09-06 Chris C. T. Pringle , Rich R. Kerswell

Soft electro-active (SEA) materials can be designed and manufactured with gradients in their material properties, to modify and potentially improve their mechanical response in service. Here, we investigate the nonlinear response of, and…

Soft Condensed Matter · Physics 2020-12-08 Bin Wu , Michel Destrade , Weiqiu Chen

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model approximations that are often highly effective in feedforward controls. However, when the…

Systems and Control · Computer Science 2019-11-19 Dan Wang , Xu Chen

In this work, we demonstrate that the nonlinear response of certain soft-matter systems can be tailored at will by appropriately engineering their optical polarizability. In particular, we deliberately synthesize stable colloidal…

Self-folding is an emerging paradigm for the inverse design of three-dimensional structures. While most efforts have concentrated on the shape of the net, our approach introduces a new design dimension-bond specificity between the edges. We…

Soft Condensed Matter · Physics 2025-01-14 Diogo E. P. Pinto , Nuno A. M. Araújo , Petr Šulc , John Russo

Slender structures, such as rods, often exhibit large nonlinear geometrical deformations even under moderate external forces (e.g., gravity). This characteristic results in a rich variety of morphological changes, making them appealing for…

Soft Condensed Matter · Physics 2024-06-24 Dezhong Tong , Zhuonan Hao , Weicheng Huang

For various engineering and industrial applications it is desirable to realize mechanical systems with broadly adjustable elasticity to respond flexibly to the external environment. Here we discover a topology-correlated transition between…

Recently there has been interest in studying a new class of elastic materials, which is described by implicit constitutive relations. Under some basic assumption for elasticity constants, the system of governing equations of motion for this…

Analysis of PDEs · Mathematics 2017-04-05 Shou-Jun Huang , K. R. Rajagopal , Hui-Hui Dai

In this research, we investigate in-depth the nonlinear energy transmission phenomenon in a metastable modular metastructure and develop efficient tools for the design of such systems. Previous studies on a one-dimensional (1D)…

Applied Physics · Physics 2019-07-09 Zhen Wu , Kon-Well Wang

Negative feedback is a powerful approach capable of improving several aspects of a system. In linear electronics, it has been critical for allowing invariance to device properties. Negative feedback is also known to enhance linearity in…

Instrumentation and Detectors · Physics 2016-11-22 Luciano da F. Costa , Filipi N. Silva , Cesar H. Comin