scholarly journals Gamma-Limit of a Model for the Elastic Energy of an Inextensible Ribbon

Author(s):  
Nicholas O. Kirby ◽  
Eliot Fried
Keyword(s):  
2008 ◽  
Vol 2008 (27) ◽  
pp. 65-72
Author(s):  
A. Baczmanski ◽  
N. Hfaiedh ◽  
M. Francois ◽  
K. Saanouni ◽  
K. Wierzbanowski

2011 ◽  
Vol 56 (2) ◽  
pp. 503-508 ◽  
Author(s):  
R. Pęcherski ◽  
P. Szeptyński ◽  
M. Nowak

An Extension of Burzyński Hypothesis of Material Effort Accounting for the Third Invariant of Stress Tensor The aim of the paper is to propose an extension of the Burzyński hypothesis of material effort to account for the influence of the third invariant of stress tensor deviator. In the proposed formulation the contribution of the density of elastic energy of distortion in material effort is controlled by Lode angle. The resulted yield condition is analyzed and possible applications and comparison with the results known in the literature are discussed.


Author(s):  
Zhiheng Huang ◽  
Zhiyong Wu ◽  
Hua Xiong ◽  
Yucheng Ma

Abstract Microstructure and its effect on mechanical behavior of ultrafine interconnects have been studied in this paper using a modeling approach. The microstructure from the processes of solidification, spinodal decomposition, and grain growth in ultrafine interconnects has highlighted its importance. The size, geometry and composition of interconnects as well as the elastic energy can influence microstructure and thus the mechanical behavior. Quantification of microstructure in ultrafine interconnects is a necessary step to establish the linkage between microstructure and reliability.


2019 ◽  
Author(s):  
Scott E. Johnson ◽  
◽  
Won Joon Song ◽  
Alden C. Cook ◽  
Christopher C. Gerbi ◽  
...  
Keyword(s):  

Jumping, climbing and suspensory locomotion are specialized locomotor mechanisms used on land and in the air. Jumping is used for rapid launches from substrates. Climbing and suspensory movements enable locomotion up, under and through vertically-structured habitats, such as forests. Elastic energy storage is particularly important for jumping and catapult systems and we address the core concepts of power amplification that are exemplified in nature’s extreme jumpers. We examine the diverse mechanisms of attachment that characterize animals that can grasp and adhere to a diversity of structures. We conclude the chapter by examining the integration of biological capabilities with engineering innovations in these systems.


Equilibrium thermodynamics for porous media is considered with special emphasis on its basis in pore-scale thermodynamics. It is shown that porosity, the new purely macroscopic variable, enters the relations on the same footing as mass densities and the strain tensors. Biot’s use of elastic energy potential, which lies at the foundation of his theory of poroelasticity, is examined in light of the results obtained here.


2021 ◽  
Vol 8 (1) ◽  
pp. 13-25
Author(s):  
Gloria Rita Argento ◽  
Stefano Gabriele ◽  
Luciano Teresi ◽  
Valerio Varano

Abstract We exploit the possibility of deforming a shell by assigning a target metric, which, for 2D structures, is decomposed into the first and second target fundamental-forms. As well known, an elastic shell may change its shape under two different kinds of actions: one are the loadings, the other one are the distortions, also known as the pre-strains. Actually, the target fundamental forms prescribe a sought shape for the solid, and the metric effectively realized is the one that minimizes the distance, measured through an elastic energy, between the target and the actual fundamental forms. The proposed method is very effective in deforming shells.


2021 ◽  
Vol 119 ◽  
pp. 110319
Author(s):  
A. Mohammadi Nejad Rashty ◽  
M. Grimmer ◽  
A. Seyfarth

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