Viacheslav Slesarenko’s research while affiliated with University of Freiburg and other places

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Publications (12)


Mechanical metamaterials based on straight cuts. (a) Initial 6×6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$6\times 6$$\end{document} pattern with alternating cuts. This architecture gives rise to auxetic behavior through the rotating squares mechanism. (b) Perturbation of the initial architecture is performed by adding rotations βi,j\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{i,j}$$\end{document} to each cut. The absolute value of rotations is capped by parameter βmax\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{max}$$\end{document}. (c) Resulting admissible design without intersections between cuts. The likelihood of obtaining intersection-free sample through random rotations (βmax=90∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{max}=90^\circ$$\end{document}) does not exceed 0.001%.
Suitability of the Euclidean Distance for two cuts. (a) Three different configurations (A: [5∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$5^\circ$$\end{document},4∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4^\circ$$\end{document}], B: [-5∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-5^\circ$$\end{document},-3∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-3^\circ$$\end{document}] C: [65∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$65^\circ$$\end{document},-45∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-45^\circ$$\end{document}]) of adjacent cuts with unit length between centers and length of 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sqrt{3}$$\end{document}. (b) The design space for the considered system with two cuts. Purple zones correspond to the angle pairs of intersecting cuts. Magenta and green lines show two possible routes between (A) and (B). (c) Sequence of cut positions corresponding to direct transition from (A) and (B) (magenta path). d Sequence of cut positions for detour path shown by green line. Note passing configuration (C) on a route from (A) to (B).
Generative approaches. (a) Variational Autoencoder (VAE), comprised of Encoder and Decoder stages, learns to map the designs into latent space and retrieve them back. (b) Generative Adversarial Network (GAN) utilizes competition between Generator and Discriminator to create samples that look real. (c) Denoising Diffusion Probabilistic Model (DDPM) employs sequential addition of noise to map the designs to latent space.
Limiting the perturbations enables control over the success rate of generation. (a) The average number of intersections in the samples and the likelihood of generating unit cells without intersections vs maximum deviation βmax\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{max}$$\end{document} from the base structure. (b) Exemplary unit cells for a maximum added rotations βmax\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{max}$$\end{document} of 20∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$20^\circ$$\end{document}, 60∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$60^\circ$$\end{document} and 90∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$90^\circ$$\end{document}.
Training of models for βmax=20∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{max}=20^\circ$$\end{document}. (a) The evolution of the average number of intersections during training for unit cells generated by different machine learning approaches. An averaging over five epochs was used for curve smoothing. (b) Distribution of the cuts with the specific added angles βi,j\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{i,j}$$\end{document} in the training dataset for βmax=20∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _{max}=20^\circ$$\end{document} (red) and in the set generated by trained DDPM (blue).

+3

Generative models struggle with kirigami metamaterials
  • Article
  • Full-text available

August 2024

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69 Reads

Gerrit Felsch

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Viacheslav Slesarenko

Generative machine learning models have shown notable success in identifying architectures for metamaterials—materials whose behavior is determined primarily by their internal organization—that match specific target properties. By examining kirigami metamaterials, in which dependencies between cuts yield complex design restrictions, we demonstrate that this perceived success in the employment of generative models for metamaterials might be akin to survivorship bias. We assess the performance of the four most popular generative models—the Variational Autoencoder (VAE), the Generative Adversarial Network (GAN), the Wasserstein GAN (WGAN), and the Denoising Diffusion Probabilistic Model (DDPM)—in generating kirigami structures. Prohibiting cut intersections can prevent the identification of an appropriate similarity measure for kirigami metamaterials, significantly impacting the effectiveness of VAE and WGAN, which rely on the Euclidean distance—a metric shown to be unsuitable for considered geometries. This imposes significant limitations on employing modern generative models for the creation of diverse metamaterials.

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Bio‐Inspired Pressure‐Dependent Programmable Mechanical Metamaterial with Self‐Sealing Ability

April 2024

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121 Reads

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1 Citation

Self‐sealing is one of the fascinating functions in nature that enables living material systems to respond immediately to damage. A prime plant model is Delosperma cooperi, which can rapidly self‐seal damaged succulent leaves by systematically deforming until the wound closes. Inspired by this self‐sealing principle, a novel programmable mechanical metamaterial has been developed to mimic the underlying damage management concept. This material is able to react autonomously to changes in its physical condition caused by an induced damage. To design this ability into the programmable metamaterial, a permeable unit cell design has been developed that can change size depending on the internal pressure. The parameter space and associated mechanical functionality of the unit cell design is simulated and analyzed under periodic boundary conditions and various pressures. The principles of self‐sealing behavior in designed metamaterials are investigated, crack closure efficiency is identified for different crack lengths, the limitations of the proposed approach are discussed, and successful crack closure is experimentally demonstrated in the fabricated metamaterial. Although this study facilitates the first step on the way of integrating new bio‐inspired principles in the metamaterials, the results show how programmable mechanical metamaterials might extend materials design space from pure properties to life‐like abilities.


a Example of a lattice. b Two unit cells with numbered beams. The Cartesian coordinate system is shown in black and the local coordinate system in grey. c Position of unit cells from (b) in a ternary plot of the design space. a designates the average beam thickness
Design space without failure. a and b Stiffness S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{S}$$\end{document} distributions. c and d Ternary plots for Sxxxx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{xxxx}$$\end{document} and Syyyy\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{yyyy}$$\end{document} components. e Ternary plot for standard deviation of the beam thicknesses. f Ternary plot for anisotropy coefficient ξ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi $$\end{document}. Note that for c–f, the color represents just qualitative dependencies and color range might have different minimal and maximal values for each plot. g Unit cells for special cases. An orange line represents a beam with a thickness close to 0. In (a–f) the special lattices are represented by red dots
a Function P(t) describing the probability of failure. b Influence of the threshold on the number of lattices in the different groups. c and d Location of the lattices from three different classes on ternary plot for tth<a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_\textrm{th}<a$$\end{document} (c) and tth>a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_\textrm{th}>a$$\end{document} (d)
Change of stiffness component Sxxxx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{xxxx}$$\end{document} (a–c) and anisotropy coefficient ξ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi $$\end{document} (d–f). a, dtth=0.8a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_\textrm{th}=0.8a$$\end{document}; b, etth=a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_\textrm{th}=a$$\end{document}, (c, f): tth=1.2a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_\textrm{th}=1.2a$$\end{document}
Kagome lattices. a The kagome lattice assembled from beams of thickness a. b The kagome lattice assembled from beams of varying thicknesses with an average thickness of a. The blue beams highlight the simulated unit cells. c The stiffness Sxxxx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{xxxx}$$\end{document} of both lattices as a function of the failure threshold tth\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t_\textrm{th}$$\end{document}
Addressing manufacturing defects in architected materials via anisotropy: minimal viable case

February 2024

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3,255 Reads

Acta Mechanica

The emergence of additive manufacturing has enabled the fabrication of architected materials with intricate micro- and nanoscale features. However, each fabrication method has a specific minimum feature size that can be practically achieved. As engineers pursue lightweight and high-performance materials, the elements of these architected materials often approach this minimum feature size, which poses a risk to their structural integrity. The failure of individual struts can result in the complete breaking of the lattice metamaterial’s connectivity or, depending on the internal architecture, only a marginal reduction in its load-bearing capacity. In this short letter, we use a minimal viable unit cell to demonstrate how an anisotropic lattice, constructed with beams of varying thicknesses, can surpass a lattice consisting solely of uniform thickness beams in terms of damage tolerance. Our focus is primarily on the manufacturing limitations rather than defects that may arise during the loading of architected materials. We propose an approach where the probability of each individual strut failure depends on its thickness, and we illustrate the implications using a simple step-like function. This approach can be extended to more complex metamaterials or to explore intricate relationships between failure probability and beam thickness.




Bandgap structure in elastic metamaterials with curvy Bezier beams

August 2023

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65 Reads

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6 Citations

This Letter discusses elastic metamaterials incorporating curved beams in their architecture. Through employing Bezier splines, we reveal a wide versatility of geometrical designs of the unit cells and the consequent programmability of bandgap structures. By analyzing more than ten thousand possible specimens altogether, we highlight the similarity between dynamic properties of metamaterials formed by curves with different geometries defined via three variables only that correspond to the coordinates of control points of the Bezier spline. In particular, we establish the importance of such parameter as effective curve length in defining the probable positions of bandgaps. This study shows, in particular, that the bandgap ratio can reach 71% for metamaterials with proposed curved beams—a noticeable contrast with no bandgaps in their counterpart with straight elements. The employment of the deep learning model enables us to effectively predict passband–stopband structure in such metamaterials with satisfactory accuracy, potentially accelerating the design of metamaterials assembled from versatile unit cells.



FIGURE 2 Selected positive and negative aspects of soft robotic systems.
Early career scientists converse on the future of soft robotics

February 2023

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255 Reads

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5 Citations

Frontiers in Robotics and AI

During the recent decade, we have witnessed an extraordinary flourishing of soft robotics. Rekindled interest in soft robots is partially associated with the advances in manufacturing techniques that enable the fabrication of sophisticated multi-material robotic bodies with dimensions ranging across multiple length scales. In recent manuscripts, a reader might find peculiar-looking soft robots capable of grasping, walking, or swimming. However, the growth in publication numbers does not always reflect the real progress in the field since many manuscripts employ very similar ideas and just tweak soft body geometries. Therefore, we unreservedly agree with the sentiment that future research must move beyond “soft for soft’s sake.” Soft robotics is an undoubtedly fascinating field, but it requires a critical assessment of the limitations and challenges, enabling us to spotlight the areas and directions where soft robots will have the best leverage over their traditional counterparts. In this perspective paper, we discuss the current state of robotic research related to such important aspects as energy autonomy, electronic-free logic, and sustainability. The goal is to critically look at perspectives of soft robotics from two opposite points of view provided by early career researchers and highlight the most promising future direction, that is, in our opinion, the employment of soft robotic technologies for soft bio-inspired artificial organs.


Citations (8)


... Currently, metamaterials and metasurfaces, including those obtained using polymer hydrogels, attract a steady interest from researchers [122][123][124]. Metamaterials are matrices (e.g., polymeric) containing additional inclusions (e.g., made of metal in the shape of the letter "omega", or derived from graphene, etc.) [125][126][127]. ...

Reference:

Advanced Applications of Polymer Hydrogels in Electronics and Signal Processing
Hard- and Soft-Coded Strain Stiffening in Metamaterials via Out-of-Plane Buckling Using Highly Entangled Active Hydrogel Elements
  • Citing Article
  • July 2024

ACS Applied Materials & Interfaces

... Diverse design approaches have been explored for the development of novel engineered metamaterials [6]. For instance, nature has been the source of inspiration as it often employs an optimal distribution of matter to achieve specific properties, such as self-sealing structures [7], honeycombs with a graded distribution based on bamboo bundles [8], and a high energy absorption panels with wavy walls like those of the micro-structure of a woodpecker's beak [9]. Other design approaches involve implementing multi-materials, strain mismatches, or mechanical instabilities [10]. ...

Bio‐Inspired Pressure‐Dependent Programmable Mechanical Metamaterial with Self‐Sealing Ability

... This fact opens up the possibility of creating surfaces with a predetermined friction law, which is expressed in the specific dependence of the friction force on the applied load [46]. Potentially, this possibility can serve as a basis for new technologies [47]. For a comprehensive overview of the findings of our work, Figure 4 illustrates the dependence of the friction coefficient on the time of experiment for all the aforementioned cases. ...

The bumpy road to friction control
  • Citing Article
  • January 2024

Science

... 10,11 Macroscopic responses to applied forces such as negative Poisson's ratio, 12−14 shape matching, 15 and shape morphing 16 can be programmed by unit cell design. Approaches for strain-stiffening metamaterials have focused on harnessing self contact between metamaterial elements under compression 17 or the integration of structural elements that show a transition from bending-to stretching-dominated under tension. 18 In these examples, the mechanical response is "hardcoded" during metamaterial manufacturing. ...

Exploiting self-contact in mechanical metamaterials for new discrete functionalities
  • Citing Article
  • November 2023

Materials & Design

... They selected three artificial intelligence methods: linear regression, neural networks, and random forests, as their learning models and achieved satisfactory accuracy [19]. In another work, Slesarenko created a dataset of ten thousand two-dimensional parent curves in his research [20]. He predicted the bandgap ratio using a variable that adjusts three geometric parameters of the curve through a deep neural network with high accuracy. ...

Bandgap structure in elastic metamaterials with curvy Bezier beams
  • Citing Article
  • August 2023

... This ML-based direct inverse design strategy has been successfully applied to realize the inverse design of different materials such as the transmission spectrum of nanophotonic structures, 73 the deformed configuration of shape-programmable 3D kirigami metamaterials, 74 the effective elasticity of truss metamaterials, 75 the effective elasticity of composite triangular lattice structures, 36 and the auxeticity of curved beam metamaterials. 76 As illustrated by the workflow in Figure 7b, this datadriven inverse design method applies to metamaterials as well as conventional materials provided that the underlying microstructures are well defined by a set of features. ...

Controlling auxeticity in curved-beam metamaterials via a deep generative model
  • Citing Article
  • May 2023

Computer Methods in Applied Mechanics and Engineering

... • Sensing and Feedback Systems: Developing advanced sensing and feedback systems to provide real-time information about the hand's interactions with objects, enabling better control and adaptability [71]. • Material Optimization: Researching novel materials and fabrication techniques to improve the performance, durability, and compliance of soft pneumatic actuators, enhancing their biomimicry and functionality [75]. • Integration with Wearable Robotics: Exploring the integration of soft pneumatic actuators into wearable robotic systems for applications such as prosthetics, exoskeletons, and rehabilitation devices [76]. ...

Early career scientists converse on the future of soft robotics

Frontiers in Robotics and AI

... While in the past, instabilities such as buckling were mostly considered as failure modes, in the recent years, a paradigm shift has happened towards the design of microstructured materials which exploit such phenomena to achieve outstanding (electro-)mechanical properties [9,38,44,65,75]. For this, a lot of effort was put into understanding the relationship between microstructure and the macroscopic instability behavior of a material [3,5,12,54]. With tailored instabilities of microstructures being a promising field of research, it is very likely that further applications of DEs in this direction will emerge. ...

Instability-induced patterns and their post-buckling development in soft particulate composites
  • Citing Article
  • October 2022

Mechanics of Materials