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Plastic Behavior01:21

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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Members Made of Elastoplastic Material01:19

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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.
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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
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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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Investigation of Auxetic Structural Deformation Behavior of PBAT Polymers Using Process and Finite Element

Yanling Schneider1, Vinzenz Guski1, Ahmet O Sahin1

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This study explores the auxetic behavior of biodegradable inverse-honeycomb structures, revealing how residual stress from 3D printing impacts their deformation. Finite-element simulations accurately predict this stress and its effects on mechanical properties.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Additive Manufacturing

Background:

  • Additive manufacturing processes like Fused Deposition Modeling (FDM) introduce residual stress (RS) and warpage in biodegradable polymer structures.
  • Inverse-honeycomb structures exhibit auxetic properties, but their behavior can be influenced by manufacturing-induced defects.
  • Measuring RS in fine, complex structures is experimentally challenging.

Purpose of the Study:

  • To investigate the auxetic tensile deformation behavior of 5x5 cell inverse-honeycomb structures made from biodegradable poly(butylene adipate-coterephthalate) (PBAT).
  • To numerically predict and analyze the influence of residual stress (RS) on the auxetic deformation of these structures.
  • To compare simulation predictions with experimental results for warpage and deformation behavior.

Main Methods:

  • Utilized Fused Deposition Modeling (FDM) to fabricate PBAT inverse-honeycomb specimens.
  • Employed finite-element (FE) based process simulation (ABAQUS plug-in) to predict RS and warpage.
  • Integrated predicted RS as initial conditions into an FE model to simulate auxetic tensile behavior.

Main Results:

  • FE process simulation accurately predicted warpage with negligible deviation from the design.
  • FE simulations revealed the temperature evolution and effects of cyclic heating/cooling during fabrication.
  • Analysis showed significant influence of RS on force-displacement curves, Poisson's ratio evolution, and stress distribution compared to non-RS simulations.

Conclusions:

  • FE-based process simulation is a viable method for predicting RS and warpage in additively manufactured auxetic structures.
  • Residual stress significantly alters the auxetic deformation behavior of PBAT inverse-honeycomb structures.
  • The study provides insights into the mechanical performance of biodegradable auxetic materials fabricated via additive manufacturing.