26 papers · ranked by Valyu relevance
Philip A. Cotterill, David Nigro, William J. Parnell
The giant monopole resonance is a well-known phenomenon, employed to tune the dynamic response of composite materials comprising voids in an elastic matrix which has a bulk modulus much greater than its shear modulus, e.g. elastomers. This low frequency resonance (e.g. $λ_{p}(/)a≈100$ for standard elastomers, where…
Markus Lazar
The aim of this paper is to investigate the fundamental problems of retardation and radiation caused by non-uniformly moving point sources using the theories of electrodynamics and elastodynamics. This paper investigates and compares the retarded electromagnetic fields and the retarded elastodynamic fields. For the…
Arash Yavari, Ashkan Golgoon
In this paper we formulate the problems of nonlinear and linear elastodynamics transformation cloaking in a geometric framework. In particular, it is noted that a cloaking transformation is neither a spatial nor a referential change of frame (coordinates); a cloaking transformation maps the boundaryvalue problem of an…
Johan Christensen, Michael R. Haberman, Ankit Srivastava, Guoliang Huang + 1 more
'Guoliang Huang' 'Gal Shmuel'] The manipulation of mechanical waves is a long-standing challenge for scientists and engineers, as numerous devices require their control. The current forefront of research in the control of classical waves has emerged from a seemingly unrelated field, namely, non-Hermitian quantum…
Nour M. Jamhawi, Ronald L. Koder, Richard J. Wittebort
Elastin is an extracellular matrix material formed when the precursor protein, tropoelastin, undergoes coacervation and crosslinking. It is found in all vertebrates where its reversible elasticity, robustness and low stiffness are essential for the normal function of arteries, lungs, and skin. It is among the most…
H T Banks, Malcolm J Birch, Mark P Brewin, Stephen E Greenwald + 6 more
'Shuhua Hu' 'Zackary R Kenz' 'Carola Kruse' 'Matthias Maischak' 'Simon Shaw' 'John R Whiteman'] We revisit a method originally introduced by Werder et al. (in Comput. Methods Appl. Mech. Engrg., 190:6685-6708, 2001) for temporally discontinuous Galerkin FEMs applied to a parabolic partial differential equation. In that…
Michel Destrade, Giuseppe Saccomandi
The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical stress tensor describing a Stokesian fluid and is commonly used in nonlinear…
Vianney Gimenez-Pinto, Fangfu Ye
Liquid crystal polymer networks have demonstrated a rich variety of actuation behavior and stimulus-responsive properties. Actuation in these single-phase materials is given by spatial variations in their liquid crystal director microstructure in balanced coexistence with rubber elasticity. However, experimental…
Peng Shi
The theories of elasticity and fluid dynamics are two basic theories in continuum mechanics. Traditional continuum mechanics regards the motion of material element forming a continuum as the translational motion of rigid body, and the theorem of moment of momentum about an axis passing through the centroid of material…
Louis D. Weise, Kirsten H. W. J. ten Tusscher
We present a discrete mechanical model to study plant development. The method is built up of mass points, springs and hinges mimicking the plant cell wall’s microstructure. To model plastic growth the resting lengths of springs are adjusted; when springs exceed a threshold length, new mass points, springs and hinges…
Athanasios E. Tzavaras
The embedding of the equations of polyconvex elastodynamics to an augmented symmetric hyperbolic system provides in conjunction with the relative entropy method a robust stability framework for approximate solutions [18]. We devise here a model of stress relaxation motivated by the format of the enlargement process…
Lea Johanna Krüger, Michael te Vrugt, Stephan Bröker, Bernhard Wallmeyer + 2 more
The mechanical forces that cells experience from the tissue surrounding them are crucial for their behavior and development. Experimental studies of such mechanical forces require a method for measuring them. A widely used approach in this context is bead deformation analysis, where spherical particles are embedded…
Masoud Ahmadi, Andrew McBride, Paul Steinmann, Prashant Saxena
Modelling the large deformation of hyperelastic solids under plane stress conditions for arbitrary compressible and nearly incompressible material models is challenging. This is in contrast to the case of full incompressibility where the out-of-plane deformation can be entirely characterised by the in-plane components.…
Sennosuke Takahashi, Ryohei Motegi
The objective of this study is to obtain the propagation velocity of an elastic wave in a loaded isotropic solid and to show the usefulness of the third-order elastic constant in determining properties of practical materials. As is well known, the infinitesimal elastic theory is unable to express the influence of…
Clément Vella, Pierre Gosselet, Serge Prudhomme
We propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-order modeling of linear elastodynamic problems. It primarily focuses on enhancing the computational efficiency of a previously introduced PGD solver based on the Hamiltonian formalism. The novelty of this work lies in the…
Authors not listed
Soft matter is characterized by its relatively strong response to external and internal influences. A soft piece of rubber or biological tissue can be easily deformed between our fingers using muscle force, whereas a steel rod does not show visible deformations detectable by eye. We use theoretical calculations and…
Patrizio Neff, Bernhard Eidel, Robert J. Martin
The introduction of the quadratic Hencky strain energy based on the logarithmic strain tensor log V is a milestone in the development of nonlinear elasticity theory in the first half of the 20th century. Since the original manuscripts are written in German, they are not easily accessible today. However, we believe that…
Zhangda Zhao, Wenjun Meng, Bijuan Yan, Huijun Liang + 3 more
'Zhengyu Sun' 'Rui Miranda Guedes'] Viscoelastic suspension systems serve as components essential for enhancing ride comfort and structural reliability in tracked bulldozers. However, traditional suspension-damping structures often exhibit high-stiffness and reduced-damping characteristics under low-frequency…
Suraj Reddy
Materials with special geometrically designed microstructures, referred to as metamaterials, have gained significant attention in the world due to their unique properties of toughness and failureresistance. The ability to simply alter the internal geometry of almost any material to exponentially increase strength is…
Authors not listed
The characterization of mechanical properties in soft 3D printed materials at the microscale remains a significant challenge due to the lack of standardized methodologies. To address this issue, a microscale nanoindentation protocol for elastomeric 3D printed microstructures is developed, optimized, and benchmarked.…
Soheil Fatehiboroujeni, Arvind Gopinath, Sachin Goyal
Initially straight slender elastic filaments and rods with geometrically constrained ends buckle and form stable two-dimensional shapes when compressed by bringing the ends together. It is known that beyond a critical value of this pre-stress, clamped rods transition to bent, twisted three-dimensional equilibrium…
Babak N. Safa, Michael H. Santare, Dawn M. Elliott
Soft tissues are biopolymeric materials, primarily made of collagen and water. These tissues have non-linear, anisotropic, and inelastic mechanical behaviors that are often categorized into viscoelastic behavior, plastic deformation, and damage. While tissue’s elastic and viscoelastic mechanical properties have been…
Adrian Lorenzana, Hsu Shwe Yee Naing, John Klier, Shelly Peyton
Networks formed from polymers can range from soft hydrogels to ultrahard protective coatings, making them useful for a wide range of applications from cell culture to highly bonded adhesives. Polymer networks are commonly crosslinked via heat or high energy light, and recently mechanical force has also been used to…
Jack D. Evans, François-Xavier Coudert
We show here that machine learning is a powerful new tool for predicting the elastic response of zeolites. We built our machine learning approach relying on geometric features only, which are related to local geometry, structure and porosity of a zeolite, to predict bulk and shear moduli of zeolites with an accuracy…
Nika Petelinsek, Stefan Mommer
Tough hydrogels have emerged as a promising class of materials to target load-bearing applications, where the material has to resist multiple cycles of extreme mechanical impact. A variety of chemical interactions and network architectures have been used to enhance the mechanical properties and fracture mechanics of…
Jane Kondev, Marc Kirschner, Hernan G. Garcia, Gabriel L. Salmon + 1 more
Many biological processes can be thought of as the result of an underlying dynamics in which the system repeatedly undergoes distinct and abortive trajectories with the dynamical process only ending when some specific process, purpose, structure or function is achieved. A classic example is the way in which…