equilibrium shapes
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2022 ◽  
Vol 105 (1) ◽  
Author(s):  
M. Belovs ◽  
A. Cēbers
Keyword(s):  

ACS Omega ◽  
2021 ◽  
Author(s):  
Yi Lei ◽  
Houshun Jiang ◽  
Jie Wang ◽  
Hualei Xu ◽  
Jianpeng Pan ◽  
...  

2021 ◽  
pp. 1-16
Author(s):  
Yitong Zhou ◽  
Leon M Headings ◽  
Marcelo J. Dapino

Abstract Soft robotic grippers can gently grasp and maneuver objects. However, they are difficult to model and control due to their highly deformable fingers and complex integration with robotic systems. This paper investigates the design requirements as well as the grasping capabilities and performance of a soft gripper system based on fluidic prestressed composite (FPC) fingers. An analytical model is constructed as follows: each finger is modeled using the chained composite model (CCM); strain energy and work done by pressure and loads are computed using polynomials with unknown coefficients; net energy is minimized using the Rayleigh-Ritz method to calculate the deflected equilibrium shapes of the finger as a function of pressure and loads; and coordinate transformation and gripper geometries are combined to analyze the grasping performance. The effects of prestrain, integration angle, and finger overlap on the grasping performance are examined through a parametric study. We also analyze gripping performance for cuboid and spherical objects and show how the grasping force can be controlled by varying fluidic pressure. The quasi-static responses of fabricated actuators are measured under pressures and loads. It is shown that the actuators' modeled responses agree with the experimental results.This work provides a framework for the theoretical analysis of soft robotic grippers and the methods presented can be ex-tended to model grippers with different types of actuation.


2021 ◽  
pp. 117220
Author(s):  
Robert D. Moore ◽  
Timothy Beecroft ◽  
Gregory S. Rohrer ◽  
Christopher M. Barr ◽  
Eric R. Homer ◽  
...  

2021 ◽  
Author(s):  
Subhadip Biswas ◽  
Buddhapriya Chakrabarti

We study equilibrium shapes and shape transformations of a confined semiflexible chain inside a soft lipid tubule using simulations and continuum theories. The deformed tubular shapes and chain conformations depend on the relative magnitude of their bending moduli. We characterise the collapsed macromolecular shapes by computing statistical quantities that probe the polymer properties at small length scales and report a prolate to toroidal coil transition for stiff chains. Deformed tubular shapes, calculated using elastic theories, agree with simulations. In conjunction with scattering studies, our work may provide a mechanistic understanding of gene encapsulation in soft structures.


Author(s):  
Q. Peng ◽  
F. J. Vermolen ◽  
D. Weihs

AbstractThe phenomenological model for cell shape deformation and cell migration Chen (BMM 17:1429–1450, 2018), Vermolen and Gefen (BMM 12:301–323, 2012), is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et al. (LC 13:340–348, 2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.


2020 ◽  
Vol 88 (3) ◽  
Author(s):  
Dario Andrini ◽  
Alessandro Lucantonio ◽  
Giovanni Noselli

Abstract Based on their shape-shifting capabilities, soft active materials have enabled new possibilities for the engineering of sensing and actuation devices. While the relation between active strains and emergent equilibrium shapes has been fully characterized, the transient morphing of thin structures is a rather unexplored topic. Here, we focus on polymer gel plates and derive a reduced linear model to study their time-dependent response to changes in the fluid environment. We show that independent control of stretching and bending deformations in stress-free conditions allows to realize spherical shapes with prescribed geometry of the mid-plane. Furthermore, we demonstrate that tensile (compressive) membrane stresses delay (accelerate) swelling-induced shape transitions compared to the stress-free evolution. We believe that these effects should be considered for the accurate design of smart systems and may contribute to explain the complexity of natural shapes.


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