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The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
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When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
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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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Modeling of Sagging for 3D Printed Layers During the Curing Process.

Andrey Filippov1, Todd H Weisgraber2, Fangyou Xie3

  • 1Divisions of Computational Engineering, Lawrence Livermore National Laboratory, Livermore, California, USA.

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|September 11, 2025
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Summary
This summary is machine-generated.

This study models 3D printed silicone structures, considering surface tension and temperature effects on material properties and flow. The research simulates deformations in printed silicone parts using a novel modeling approach.

Keywords:
3D printingadditive manufacturing processesdesignmeta-materialsnew materials

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Area of Science:

  • Materials Science
  • Chemical Engineering
  • Computational Modeling

Background:

  • 3D printing of silicone elastomers presents challenges due to their complex rheology and temperature-dependent properties.
  • Surface tension significantly influences the structural integrity and geometry of printed silicone layers during fabrication.
  • Understanding and predicting the deformation of printed silicone structures is crucial for optimizing manufacturing processes and material design.

Purpose of the Study:

  • To develop a comprehensive model for simulating the behavior of 3D printed silica-enforced poly(dimethylsiloxane)-co-(diphenylsiloxane) structures.
  • To investigate the impact of surface tension, temperature, and curing degree on polymer flow and structural deformation.
  • To validate the model using experimental data from rheological measurements and sagging tests.

Main Methods:

  • A two-phase system model (air and polymer) was employed to represent the printed layer.
  • The extended Herschel-Bulkley model, with temperature-dependent parameters, described polymer flow.
  • Differential scanning calorimetry (DSC) data informed the modeling of the curing process.
  • Simulations were performed using various initial and boundary conditions to predict structure deformations.

Main Results:

  • The model successfully captured the influence of surface tension on structural geometry changes.
  • Temperature dependence of material properties and curing significantly affected polymer flow and deformation.
  • Experimental validation confirmed the model's predictive capabilities for sagging and flow behavior.

Conclusions:

  • The developed model provides a robust framework for predicting the behavior of 3D printed silicone elastomers.
  • Accurate modeling of temperature-dependent properties and curing kinetics is essential for simulating printed structure deformations.
  • This work facilitates the optimization of 3D printing processes for silicone-based materials.