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Related Concept Videos

Generalized Hooke's Law01:22

Generalized Hooke's Law

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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...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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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.
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Bending of Members Made of Several Materials01:08

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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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Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
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Homogenization simulation of material extruded lattice structures.

Roberto Spina1,2,3, Maria Grazia Guerra1, Silvia Di Rosa4

  • 1Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Bari, Italy.

Heliyon
|February 27, 2023
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Summary

This study develops a multiscale homogenization model for material extruded components, validating its accuracy against detailed simulations for improved mechanical behavior analysis.

Keywords:
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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Mechanics

Background:

  • Material extrusion creates complex structural components with unique mechanical properties.
  • Understanding the behavior of these components requires advanced simulation techniques.

Purpose of the Study:

  • To develop and validate a multiscale homogenization model for material extruded components.
  • To accurately predict the mechanical behavior of these structures.

Main Methods:

  • Multiscale analysis utilizing a homogenization method.
  • Design of a custom lattice structure for the model.
  • Implementation of an elastoplastic material model with Hill's yield criterion.

Main Results:

  • Successful development of a validated homogenization model.
  • Demonstrated accuracy of the homogenized model compared to full-detail simulations.

Conclusions:

  • The developed homogenization model effectively captures the mechanical behavior of material extruded components.
  • This approach offers a computationally efficient method for analyzing complex structures.