同型弾性硬さの理論的限界にある機械的超材料
J B Berger1,2, H N G Wadley3, R M McMeeking1,2,4,5
1Materials Department, University of California, Santa Barbara, California 93106-5050, USA.
Nature
|February 21, 2017
まとめ
研究者は理論的な弾性限界を達成する新しい材料の幾何学を特定しました. この低密度のメカニカルメタマテリアルは,優れた硬さ,エネルギー吸収,そして簡単な折り畳み方法によって製造可能な調整可能な音響特性を提供します.
科学分野:
- 材料科学
- 機械工学
- メタマテリアル
背景:
- 高性能なアプリケーションは,ストレス下での形状制御と低密度を持つ材料を必要とします.
- バイオインスピレーションを受けた構造は ハネコムや格子のようなもので 厳密さと重さの比率が優れています
- 3Dプリントの進歩により 複雑で低コストなメタマテリアルの製造が可能になりました
研究 の 目的:
- 同位体弾性および張力エネルギー貯蔵のための理論上の上限を達成する材料の幾何学を特定する (ハシン・シュトリクマン上限).
- 様々な材料の幾何学で負荷下でのストレスのエネルギーの分布を理解する.
- 機械的なメタマテリアルの高弾性性能に関連した形態学的特徴を発見する.
主な方法:
- ストレスのエネルギー分布を評価するために,有限要素モデルと分析方法を使用した.
- 最適な材料の幾何学を特定するためにヒューリスティック最適化スキームを使用しました.
- 既存のトランスネットワークとアニゾトロプ的蜂巣との性能の比較
主要な成果:
- 同位体弾性硬さのハシン・シュトリクマン上限を達成する新しい材料の幾何学を特定した.
- 効率的な負荷移転には 固い,よく分散したプレートネットワークが不可欠であると判断した.
- このデザインは以前のメタマテリアルの限界を 超えていることが示されました
結論:
- 新しいプレートベースのメタマテリアルの設計は理論的な弾性限界を達成します.
- この材料は,高いエネルギー吸収,調整可能な音響帯の隙間,および熱絶縁などの有利な性質を備えています.
- デザインはシンプルで,オリガミのようなシート折り畳みと接着技術を使用して製造できます.
関連する概念動画
Hooke's Law
1.7K
Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
1.7K
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
657
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
657
Bending of Members Made of Several Materials
659
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
659
Strain and Elastic Modulus
9.2K
The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
9.2K
Members Made of Elastoplastic Material
446
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
As the bending moment...
446
Generalized Hooke's Law
2.9K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
2.9K


