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Blackman's diagram of two dimensionless ratios of elastic constants is frequently used to correlate elastic properties of cubic crystals with interatomic bondings. Every's diagram of a different set of two dimensionless variables was used…

Materials Science · Physics 2009-11-13 T. Paszkiewicz , S. Wolski

In this work, We combined fully atomistic molecular dynamics and finite elements simulations with mechanical testings to investigate the mechanical behavior of atomic and 3D-printed models of pentadiamond. Pentadiamond is a recently…

The graphene-like two-dimensional (2D) silicon carbide or siligraphene has attracted remarkable attentions, owing to its fascinating physical properties. Nevertheless, the first high-quality siligraphene, i.e., monolayer Si9C15 was…

Materials Science · Physics 2023-02-10 Jianli Zhou , Jian Li , Jin Zhang

Cell shape changes are vital for many physiological processes such as cell proliferation, cell migration and morphogenesis. They emerge from an orchestrated interplay of active cellular force generation and passive cellular force response -…

Biological Physics · Physics 2020-05-20 Marcel Mokbel , Kamran Hosseini , Sebastian Aland , Elisabeth Fischer-Friedrich

Electronic nematic order has been reported in a rich landscape of materials, encompassing not only a range of intertwined correlated and topological phenomena, but also different underlying lattice symmetries. Motivated by these findings,…

Strongly Correlated Electrons · Physics 2025-09-15 Matthias Hecker , Anant Rastogi , Daniel F. Agterberg , Rafael M. Fernandes

In a previous paper \cite{Itskov-MoSM} we presented a hyperelastic isotropic material model whose stress-strain response is nonlinear even at infinitesimal deformations and cannot thus be linearized. As a result values of Poisson's ratio…

Analysis of PDEs · Mathematics 2026-04-30 Mikhail Itskov

Standard optimality criteria (e.g. A-, D-optimality criterion, etc.) have been commonly used for obtaining optimal designs. For a given statistical model, standard criteria assume the error variance is known at the design stage. However, in…

Methodology · Statistics 2017-01-27 Md. Shaddam Hossain Bagmar , Wasimul Bari , A. H. M. Mahbub Latif

We present a rational approach to the design of half-metallic heterostructures which allows the design of an infinite number of half-metallic heterostructures. The wide range of materials that can be made half-metallic using our approach…

Materials Science · Physics 2011-03-22 William H. Butler , Claudia K. A. Mewes , Chunsheng Liu , Tianyi Xu

Static disorder in a 3D crystal degrades the ideal ballistic dynamics until it produces a localized regime. This Metal-Insulator Transition is often preceded by coherent diffusion. By studying three paradigmatic 1D models, namely the…

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

Classical Physics · Physics 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

We present a novel approach to understand geometric-incompatibility-induced rigidity in under-constrained materials, including sub-isostatic 2D spring networks and 2D and 3D vertex models for dense biological tissues. We show that in all…

Soft Condensed Matter · Physics 2023-01-18 Matthias Merkel , Karsten Baumgarten , Brian P. Tighe , M. Lisa Manning

Mesh adaptation for finite element approximation is a procedure used in numerous applications. The use of thin and long anisotropic triangles improves the efficiency of the procedure. When piecewise linear finite elements are used, the…

Numerical Analysis · Mathematics 2011-01-05 Jean-Marie Mirebeau

The development of new materials typically involves a process of trial and error, guided by insights from past experimental and theoretical findings. The inverse design approach for soft-matter systems has the potential to optimize specific…

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…

This work is devoted to the study of the symmetries of (quasi)periodic architectured materials. For this purpose, the weaker symmetry criterion of indistinguishability is used. It relies on a statistical description of the mesostructure and…

Mathematical Physics · Physics 2026-04-03 Markus Hubert , Christelle Combescure , Renald Brenner , Nicolas Auffray

Mechanical metamaterials are artifical composites that exhibit a wide range of advanced functionalities such as negative Poisson's ratio, shape-shifting, topological protection, multistability, and enhanced energy dissipation. To date, most…

Soft Condensed Matter · Physics 2020-06-11 Aleksi Bossart , David M. J. Dykstra , Jop van der Laan , Corentin Coulais

Incremental stiffness characterizes the variation of a material's force response to a small deformation change. Typically materials have an incremental stiffness that is fixed and positive, but recent technologies, such as super-lenses, low…

Materials Science · Physics 2016-01-20 Marc Serra-Garcia , Joseph Lydon , Chiara Daraio

Hyperelastic materials models are well established to describe the non-linear stress-strain relations of elastomers. In this paper, a polyurethane adhesive is considered as an exemplary material and subjected to tensile, compressive and…

Soft Condensed Matter · Physics 2018-05-29 Olaf Hesebeck , Andreas Wulf

We revisit the universal behavior of crystalline membranes at and below the crumpling transition, which pertains to the mechanical properties of important soft and hard matter materials, such as the cytoskeleton of red blood cells or…

Statistical Mechanics · Physics 2016-02-17 R. Cuerno , R Gallardo Caballero , A. Gordillo-Guerrero , P. Monroy , J. J. Ruiz-Lorenzo

Bistable Auxetic Metamaterials (BAMs) are a class of monolithic perforated periodic structures with negative Poisson's ratio. Under tension, a BAM can expand and reach a second state of equilibrium through a globally large shape…

Applied Physics · Physics 2017-11-28 Xiao Shang , Lu Liu , Ahmad Rafsanjani , Damiano Pasini
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