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Related Concept Videos

Flexural Stress01:16

Flexural Stress

328
When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to...
328
Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

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The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
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Behavior of Concrete Under Compressive Load01:23

Behavior of Concrete Under Compressive Load

211
Concrete exhibits specific behaviors under different compressive loads. Understanding this is crucial for understanding its structural integrity. When concrete undergoes uniaxial compression, it tends to develop cracks that run parallel to the direction of the force. These parallel cracks stem from localized tensile stresses that occur perpendicular to the compression direction. Additionally, angled cracks may appear due to the formation of shear planes.
As the concrete specimen fractures under...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

291
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.
291
Residual Stresses in Bending01:18

Residual Stresses in Bending

207
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
207
Bending of Members Made of Several Materials01:08

Bending of Members Made of Several Materials

223
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...
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Dynamic Compressive and Flexural Behaviour of Re-Entrant Auxetics: A Numerical Study.

Dianwei Gao1,2,3, Jianhua Zhang4, Chunwei Zhang2,3

  • 1School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, China.

Materials (Basel, Switzerland)
|August 12, 2023
PubMed
Summary

Re-entrant auxetics, like 3D re-entrant lattice, offer superior energy absorption and impact resistance compared to traditional honeycombs. Their mechanical performance is highly dependent on strain rate, density, and material properties.

Keywords:
auxetic structuresdynamic propertiesfinite element modellingmetamaterialsnegative Poisson’s ratio

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Mechanics

Background:

  • Auxetic materials exhibit unique negative Poisson's ratio properties.
  • Re-entrant structures offer enhanced energy absorption and impact resistance.
  • Lightweight materials with superior mechanical properties are crucial for engineering applications.

Purpose of the Study:

  • To numerically investigate the compressive and flexural behavior of re-entrant honeycomb and 3D re-entrant lattice structures.
  • To compare the performance of re-entrant auxetics with regular hexagonal honeycombs.
  • To analyze the influence of strain rate, density, and material properties on dynamic response.

Main Methods:

  • Finite element analysis using ABAQUS/Explicit.
  • Model validation with experimental data from literature.
  • Mesh size sensitivity analysis for optimal element selection.
  • Parametric study on dynamic response under axial and flexural loading.

Main Results:

  • 3D re-entrant lattice demonstrates superior energy dissipation compared to hexagonal and re-entrant honeycombs.
  • Replacing re-entrant honeycomb with 3D re-entrant lattice significantly increases plastic energy dissipation and peak stress.
  • Re-entrant honeycomb exhibits a low flexural modulus but maintains a large elastic deformation range.
  • Dynamic response is strongly dependent on strain rate, relative density, and material properties.

Conclusions:

  • 3D re-entrant lattice structures are highly effective for energy dissipation and impact resistance.
  • Re-entrant auxetics provide a promising pathway for designing advanced lightweight composites.
  • Understanding the influence of various parameters is key to optimizing auxetic material design.