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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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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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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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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between...
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Stress is a quantity that describes the magnitude of a force that causes deformation, generally defined as internal force per unit area. When forces pull on an object and cause its elongation, like the stretching of an elastic band, it is called tensile stress. When forces cause the compression of an object, it is known as compressive stress. When an object is being squeezed uniformly from all sides, like a submarine in the depths of the ocean, we call this kind of stress bulk stress (or volume...
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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...
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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Shear thickening inside elastic open-cell foams under dynamic compression.

Samantha M Livermore1, Alice Pelosse1, Michael van der Naald1

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This study reveals how the pore size distribution of polyurethane foams influences the mechanical response of fumed silica suspensions. Foam structure dictates energy dissipation and stress, crucial for understanding complex fluid-material interactions.

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Area of Science:

  • Materials Science
  • Rheology
  • Polymer Science

Background:

  • Open-cell foams are versatile materials with applications in energy absorption and damping.
  • Understanding the behavior of non-Newtonian fluids within porous structures is critical for material design.
  • Fumed silica suspensions in polyethylene glycol exhibit shear-thickening behavior.

Purpose of the Study:

  • To investigate the compressive response of polyurethane foams filled with shear-thickening suspensions.
  • To determine the influence of foam pore size distribution on material behavior.
  • To elucidate the relationship between suspension rheology and foam mechanics.

Main Methods:

  • Compression testing of foam-suspension composites across a wide range of speeds.
  • Optical measurements of foam deformation and suspension flow.
  • Development of a simplified model incorporating viscous drag and foam elasticity.

Main Results:

  • Compressive stress increases gradually, indicating shear rate gradients within the suspension.
  • Dissipated energy scales with an effective internal shear rate, enabling data collapse for different foams.
  • Peak energy dissipation correlates with the shear-thickening onset of the bulk suspension.
  • Foam pore size distribution is identified as a critical parameter for modeling.

Conclusions:

  • The mechanical response of these composite materials is governed by the interplay between foam structure and suspension rheology.
  • Foam pore size distribution significantly impacts energy dissipation and stress response.
  • The findings provide a framework for designing foams with tailored properties for specific applications.