.png){kind=icon}
Return
Optimal elastostatic cloaks
.png){kind=icon}
OA
AI
DOI：10.1016/j.jmps.2023.105306.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
An elastic cloak hides a hole (or an inhomogeneity) from elastic fields. In this paper, a formulation of the optimal design of elastic cloaks based on the adjoint state method, in which the balance of linear momentum is enforced as a constraint, is presented. The design parameters are the elastic moduli of the cloak, and the objective function is a measure of the distance between the solutions in the physical and in the virtual bodies. Both the elastic medium and the cloak are assumed to be made of isotropic linear elastic materials. However, the proposed formulation can easily be extended to anisotropic solids. In order to guarantee smooth inhomogeneous elastic moduli within the cloak a penalization term is added to the objective function. Mixed finite elements are used for discretizing the weak formulation of the optimization problem. Several numerical examples of optimal elastic cloaks designed for both single and multiple loads are presented. We consider different geometries and loading types and observe that in some cases the optimal elastic cloaks for cloaking holes (cavities) are made of auxetic materials.
Keywords:
Elastic cloaking
Optimal design
Mixed finite elements
Adjoint state method
Auxetic materials
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
6
Papers:
5.3K
Citations:
3.0W
Organization
View more organizations
Cited Papers
Design of thermal interfaces with embedded microchannels to control bond line formation.png)
2008 11th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems
2008 11th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic SystemsIF0
PREAI
ShareSaveShareSaveShareSaveShareSaveShareSave View more