Numerical modelling of wrinkled hyperelastic membranes with topologically complex internal boundary conditions

Alberini, Riccardo; Spagnoli, Andrea; Terzano, Michele

doi:10.1016/j.ijmecsci.2021.106816

Cited by 8 publications

(1 citation statement)

References 42 publications

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“…Several researchers tackled the issue of wrinkling, wrinkling suppression, and tuning using different techniques. [20][21][22][23][24][25][26] Zheng 20 examined wrinkling suppression of dielectric elastomeric membranes using electric fieldinduced actuation. The membrane was coated on each side with a compliant electrode.…”

Section: Introductionmentioning

confidence: 99%

Wrinkling suppression in thin membranes using designed geometrical features

Nazzal

Alkhader

Agha

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The rapidly increasing use of thin membranes; especially in the fabrication of flexible electronics, has motivated investigating the wrinkling behavior of these membranes. Wrinkling has an undesirable effect since wrinkles degrade the surface accuracy of structures incorporating thin membranes. This work introduces and evaluates an approach based on including optimized geometric features in thin membranes to suppress their wrinkling behavior. The ability of the optimized geometric features to suppress wrinkling in a 25 μm thick polyimide membrane subjected to uniaxial stretching is investigated computationally and experimentally in this work. A finite element model is developed to predict the wrinkling behavior of the membrane. An experimental setup equipped with 3D digital image correlation system is used to determine the wrinkles pattern, amplitude, and wavelength. Symmetric circular holes are introduced in the membrane to redistribute the stress field, eliminate the fluctuation in the minor principal stress in the membrane, and suppress wrinkles. The location and size of the circular holes are determined by coupling the Non-Linear Programming by Quadratic Largrangian technique and finite element simulations. An optimal design is obtained and the experimental results show that the optimally designed holes effectively suppressed the wrinkling behavior.

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Section: Introductionmentioning

confidence: 99%

Wrinkling suppression in thin membranes using designed geometrical features

Nazzal

Alkhader

Agha

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Photochemical Design for Diverse Controllable Patterns in Self‐Wrinkling Films

Yuan,

Deng,

Wang

et al. 2024

Advanced Materials

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Harnessing the spontaneous surface instability of pliable substances to create intricate, well‐ordered, and on‐demand controlled surface patterns holds great potential for advancing applications in optical, electrical, and biological processes. However, the current limitations stem from challenges in modulating multi‐directional stress fields and diverse boundary environments. Herein, we propose a universal strategy to achieve arbitrarily controllable wrinkle patterns via the spatiotemporal photochemical boundaries. Utilizing constraints and inductive effects of the photochemical boundaries, the multiple coupling relationship is accomplished among the light fields, stress fields, and morphology of wrinkles in photosensitive polyurethane (PSPU) film. Moreover, employing sequential light‐irradiation with photomask enables the attainment of a diverse array of controllable patterns, ranging from highly ordered 2D patterns to periodic or intricate designs. The fundamental mechanics of underlying buckling and the formation of surface features are comprehensively elucidated through theoretical stimulation and finite element analysis. The results reveal the evolution laws of wrinkles under photochemical boundaries and represent a new effective toolkit for fabricating intricate and captivating patterns in single‐layer films.This article is protected by copyright. All rights reserved

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Symmetric stiffness matrices for isoparametric finite elements in nonlinear elasticity

Valvo

2024

Comput Mech

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The article illustrates a position-based finite element formulation, which greatly simplifies the statement of nonlinear elasticity problems. The formulation adopts as main unknowns the nodal positions in the current configuration instead of the nodal displacements. As a result, simple analytical expressions are obtained of the secant and tangent stiffness matrices for general isoparametric finite elements. Contrary to most formulations of the literature, the secant stiffness matrices turn out to be symmetric. Furthermore, any hyperelastic constitutive law can be easily implemented. Specialised expressions are deduced for the stiffness matrices of a two-node truss bar element and a three-node planar triangular element. The validity of the proposed approach is illustrated through the analysis of a steep von Mises truss and Cook’s membrane. For illustration, the de Saint Venant–Kirchhoff and neo-Hookean material models are considered.

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Numerical modelling of wrinkled hyperelastic membranes with topologically complex internal boundary conditions

Cited by 8 publications

References 42 publications

Wrinkling suppression in thin membranes using designed geometrical features

Wrinkling suppression in thin membranes using designed geometrical features

Photochemical Design for Diverse Controllable Patterns in Self‐Wrinkling Films

Symmetric stiffness matrices for isoparametric finite elements in nonlinear elasticity

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