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Understanding how living organisms spontaneously develop complex functional structures inspires innovative approaches in engineering design. Here, we introduce a decentralized generative model based on morphogenesis to autonomously grow…

Applied Physics · Physics 2025-09-15 Thomas Fromentèze , Philippe Michaud , Ali Hassny , Vincent Pateloup

Quasi two-dimensional pattern forming systems with spontaneously broken isotropy represent a novel symmetry class, that is experimentally accessible in electroconvection of homeotropically aligned liquid crystals. We present a weakly…

patt-sol · Physics 2009-10-30 A. G. Rossberg , A. Hertrich , L. Kramer , W. Pesch

A simple and efficient interface-fitted mesh generation algorithm is developed in this paper. This algorithm can produce a local anisotropic fitting mixed mesh which consists of both triangles and quadrilaterals near the interface. A new…

Numerical Analysis · Mathematics 2020-05-13 Jun Hu , Hua Wang

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method…

Numerical Analysis · Mathematics 2020-07-24 Vitalii Aksenov , Alexey Vasyukov , Igor Petrov

We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed in order to have omni-directional Poisson's ratio arbitrarily close to the stability limit -1. The cubic behavior of the periodic…

Classical Physics · Physics 2016-04-20 Luigi Cabras , Michele Brun

We analyse the behaviour of thin composite plates whose material properties vary periodically in-plane and possess a high degree of contrast between the individual components. Starting from the equations of three-dimensional linear…

Analysis of PDEs · Mathematics 2022-05-03 Marin Bužančić , Kirill Cherednichenko , Igor Velčić , Josip Žubrinić

Conventional soft pneumatic actuators, typically based on hollow elastomeric chambers, often suffer from small structural support and require costly geometry-specific redesigns for multimodal functionality. Porous materials such as foam,…

Robotics · Computer Science 2025-12-16 Canqi Meng , Weibang Bai

We review nine invariant and dispersion-type anisotropic hyperelastic constitutive models for soft biological tissues based on their fitting performance to experimental data from three different human tissues. For this, we used a hybrid…

Numerical Analysis · Mathematics 2022-07-29 Hüsnü Dal , Alp Kağan Açan , Ciara Durcan , Mokarram Hossain

This paper investigates the dispersion characteristics of a highly anisotropic metamaterial comprised of metal square patches arranged in a glide symmetry pattern and submerged in vacuum. Theoretical formulas are proposed to describe the…

Classical Physics · Physics 2025-08-11 Jim A. Enriquez , Eugene Koreshin , Juan P. Del Risco , Pavel A. Belov , Juan D. Baena

We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid…

Computational Engineering, Finance, and Science · Computer Science 2021-05-21 Li Zheng , Siddhant Kumar , Dennis M. Kochmann

Similar to Poisson's effect, mechanical coupling is a directional indirect response by a directional input loading. With the advance in manufacturing techniques of 3D complex geometry, architected materials with unit cells of finite volume…

Materials Science · Physics 2023-01-11 Zhiming Cui , Zhihao Yuan , Jaehyung Ju

We propose the design of an impedance matching acoustic bend in this article. The bending structure is composed of sub-wavelength unit cells with perforated plates and side pipes, whose mass density and bulk modulus can be tuned…

Classical Physics · Physics 2017-03-08 Yuzhen Yang , Han Jia , Wenjia Lu , Zhaoyong Sun , Jun Yang

The adhesive behaviour of biological attachment structures such as spider web anchorages is usually studied using single or multiple peeling models involving "tapes", i.e. one-dimensional contacts elements. This is an oversimplification for…

Computational Physics · Physics 2020-03-18 Daniele Liprandi , Federico Bosia , Nicola M. Pugno

This paper analyzes the non-trivial influence of the material anisotropy on the structural behavior of an anisotropic multilayer planar beam. Indeed, analytical results available in literature are limited to homogeneous beams and several…

3D-printed digital materials whose mechanical behavior travels between those from thermoplastic to rubbery polymers have become increasingly important. However, their mechanical functionalities have not been fully exploited due to intrinsic…

Soft Condensed Matter · Physics 2026-03-18 Seunghwan Lee , Gisoo Lee , Seounghee Yun , Sumin Lee , Jeonyoon Lee , Hansohl Cho

This article aims to propose a novel analytical model for anisotropic multi-layer elliptical structures incorporating graphene layers. The multi-layer structure is formed of various magnetic materials. An external magnetic bias has been…

Structure functions of rough fracture surfaces in isotropic materials exhibit complicated scaling properties due to the broken isotropy in the fracture plane generated by a preferred propagation direction. Decomposing the structure…

Materials Science · Physics 2009-11-11 Eran Bouchbinder , Itamar Procaccia , Shani Sela

Complete control of electromagnetic fields requires particles that exhibit bianisotropic constituent parameters (i.e. permittivity, permeability, and chirality). Here, methods to analyze and synthesize two-dimensional, bianisotropic…

Optics · Physics 2014-04-18 Carl Pfeiffer , Anthony Grbic

Metastructured auxetic patches, characterized by negative Poisson's ratios, offer unique mechanical properties that closely resemble the behavior of human tissues and organs. As a result, these patches have gained significant attention for…

Machine Learning · Computer Science 2025-01-14 Yingbin Chen , Milad Arzani , Xuan Mu , Sophia Jin , Shaoping Xiao

Composite materials often exhibit mechanical anisotropy owing to the material properties or geometrical configurations of the microstructure. This makes their inverse design a two-fold problem. First, we must learn the type and orientation…

Computational Engineering, Finance, and Science · Computer Science 2024-12-19 Asghar A. Jadoon , Karl A. Kalina , Manuel K. Rausch , Reese Jones , Jan N. Fuhg
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