Rubber Contact Simulation Using Particle Resilience
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Solution Overview
Problem
Existing simulation methods, such as the finite element method and particle method, face challenges in accurately analyzing the contact state of rubber materials undergoing large deformations, as they either lead to calculation failures or fail to restore the rubber model's original shape.
Innovation Solution
A computer-implemented contact simulation method models the rubber material and contact zone using a finite number of particles with defined motion equations, incorporating a term for resilience against tensile deformation and a contact spring to simulate contact between particles, allowing for accurate large deformation analysis.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Stability of the object's composition
If the finite element method is used to model rubber material with adjacent elements linked together, then the material structure is well-defined, but calculation failure occurs when tensile deformation exceeds 100% due to element breaking
Solution Approach 1:
The rubber material is divided into discrete particles instead of continuous elements. Each particle is independently modeled with mass, position, and velocity, eliminating the element connectivity constraints that cause breaking in FEM. This segmentation allows large deformations without structural failure.
Solution Approach 2:
The patent replaces the traditional FEM mechanical element system with a particle-based mechanical system. Instead of using elements with nodes and connectivity matrices, the system uses independent particles interacting through force fields, substituting the mechanical element framework with a particle dynamics approach that handles large deformations naturally.
2Reliability
If the particle method is used to model rubber material with Newton's motion equations, then calculation failure due to element breaking is avoided, but the rubber model cannot return to its former shape because resilience is not defined
Solution Approach 1:
The patent introduces a resilience parameter (spring constant k) into the particle motion equations to model the elastic recovery of rubber material. This parameter change enables the particles to experience restoring forces proportional to their displacement from equilibrium positions, allowing the material to return to its original shape after deformation.
Solution Approach 2:
The patent introduces spring forces as intermediary elements between particles to mediate the interaction and enable shape recovery. These spring forces act as intermediaries that store and release elastic energy, allowing the rubber material to return to its original configuration after large deformations.
3Reliability
If molecular dynamics method is used to analyze intermolecular contact at micro-level, then calculation failure is avoided, but it is unrealistic for analyzing macro-level contact between rubber material and surface
Solution Approach 1:
The patent creates a universal particle-based simulation method that can handle both micro-level and macro-level contact problems. By using particles with appropriate size and interaction parameters, the same fundamental approach can be applied across different scales, making the method versatile for both molecular and macroscopic analyses.
Solution Approach 2:
The patent enables scale adaptability by changing the particle size and interaction parameters. For macro-level rubber contact, larger particles representing material points are used with appropriate elastic and friction parameters. The same particle framework can be adapted to molecular scales by adjusting particle size and interaction strengths, providing universal applicability.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables accurate simulation of rubber material contact states with large deformations without calculation failures, allowing the rubber model to restore its original shape and maintain contact accuracy, even under high tensile deformations.
Implementation Method 1
a contact spring expressive of contact between the rubber model and the contact zone model is defined between particles of the contact zone model and particles of the rubber model located in a surface portion of the rubber model contacting with the contact zone model
Implementation Method 2
the motion equations defined on the particles of the rubber material have a term expressive of resilience of the rubber material against its tensile deformation
Data Source
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AI summary
A computer-implemented method for simulating a contact state of a rubber material with a contact surface is disclosed, wherein a rubber model of the rubber material is defined; the rubber material is modeled by a finite number of particles on which a motion equation is defined; a contact zone model of a contact zone including the contact surface is defined; the contact zone is modeled by a finite number of particles; the rubber model is contacted with the contact zone model and a deformation calculation of the rubber model is performed; and the motion equations defined on the particles of the rubber material have a term expressive of resilience of the rubber material.