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Related Concept Videos

Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

430
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.
As the bending moment...
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Residual Stresses in Bending01:18

Residual Stresses in Bending

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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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Circular Shafts - Elastoplastic Materials01:24

Circular Shafts - Elastoplastic Materials

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The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
515
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

640
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 material's...
640
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

392
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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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

639
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.
639

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Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
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Projective Peridynamics for Modeling Versatile Elastoplastic Materials.

Xiaowei He, Huamin Wang, Enhua Wu

    IEEE Transactions on Visualization and Computer Graphics
    |September 28, 2017
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a unified, meshless peridynamics simulator for elastoplastic materials. It efficiently models complex deformations and material behaviors, offering advantages for animation and engineering simulations.

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    Area of Science:

    • Computational physics
    • Material science
    • Computer graphics

    Background:

    • Meshless methods offer advantages for simulating complex material behaviors.
    • Existing techniques face challenges with computational cost, stability, and realistic deformation modeling, like the Poisson effect.

    Purpose of the Study:

    • To develop a unified, meshless elastoplastic material simulator using state-based peridynamics.
    • To address limitations of previous methods in terms of efficiency, stability, and physical accuracy.

    Main Methods:

    • Formulated an elastoplastic model within the state-based peridynamics framework, utilizing integral equations.
    • Developed an iterative simulator employing projective dynamics for elasticity and incorporated the Drucker-Prager yield criterion for plasticity.
    • Enhanced the simulator with position-based constraints and spatially varying stiffness for advanced effects.

    Main Results:

    • The proposed model successfully simulates elastoplastic behaviors, including the Poisson effect.
    • The simulator demonstrates flexibility, efficiency, and robustness in handling various material flows (viscoelastic, granular).
    • Achieved incompressibility, particle redistribution, cohesion, and friction effects.

    Conclusions:

    • The unified, meshless peridynamics simulator provides a versatile and efficient tool for complex material simulations.
    • The approach is suitable for applications in animation, contact handling, and hardware acceleration.
    • The simulator is robust, parallel-friendly, and capable of generating physically meaningful deformation behaviors.