Rubber Compound Deformation Simulation with Silica Interface

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Solution Overview

Problem

Current methods for simulating deformation of rubber compounds with silica as a reinforcing filler, such as those used in vehicle tires, produce inaccurate results due to the influence of interfacial coupling agents, which are not adequately accounted for in existing finite element models.

Innovation Solution

A method involving STEM image acquisition, three-dimensional structure reconstruction, and finite element model generation, where silica particles and rubber components are modeled with distinct physical properties, and an interface model is created to simulate the coupling agent's effect, allowing for accurate deformation calculations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If a conventional finite element model is used for silica-rich rubber compound, then the model structure is simple, but the simulation accuracy deteriorates due to inadequate representation of interfacial coupling agent effects

Engineering Contradiction:
Improvesimulation accuracyVSAvoidmodel complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The rubber compound is segmented into distinct phases: rubber matrix, silica particles, and interfacial coupling agent layer. Each phase is modeled separately with appropriate material properties, allowing accurate representation of deformation behavior while maintaining manageable model complexity through systematic division of the composite structure

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The interfacial coupling agent layer is assigned distinct local properties that differ from both the rubber matrix and silica particles. This local quality approach captures the unique mechanical behavior at the silica-rubber interface, improving simulation accuracy without requiring complete remodelling of the entire structure

Inventive Principle:
Principle #3Local quality

Solution Approach 3:

The patent models the rubber compound as a composite material system with multiple phases (rubber, silica, coupling agent), each with specific constitutive models. This composite approach allows accurate prediction of overall deformation by combining the behaviors of individual components with proper interface conditions

Inventive Principle:
Principle #40Composite materials

2Loss of energy

If silica particles are used as reinforcing filler instead of carbon black, then energy loss is reduced and rolling resistance decreases, but simulation accuracy deteriorates due to inadequate modeling of interfacial coupling effects

Engineering Contradiction:
Improveenergy lossVSAvoidsimulation accuracy
Core Design Contradiction:
Loss of energyVSMeasurement precision

Solution Approach 1:

The interfacial coupling agent is explicitly modeled as an intermediary layer between silica particles and rubber matrix. This mediator captures the stress transfer mechanism and adhesion effects that are critical for accurate simulation of silica-rich compounds, addressing the inadequacy of conventional models that treat the interface simplistically

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent employs parameter changes by assigning different material properties to different phases: the coupling agent layer has intermediate stiffness between silica and rubber, and its thickness and mechanical properties are adjusted to match experimental observations, thereby improving simulation accuracy for energy loss prediction

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS9097697B2Method for simulating deformation of rubber compound
Publication Date: 2015.08.04 SUMITOMO RUBBER INDUSTRIES LTD
  • US9097697B2 patent drawing
  • US9097697B2 patent drawing
  • US9097697B2 patent drawing

AI summary

A method for simulating deformation of rubber compound including silica particles and an interfacial coupling agent therefor is disclosed. Using a scanning transmission electron microscope (STEM), data of STEM images of the rubber compound are acquired. Based on the STEM image data, a dataset of a 3D structure of the rubber compound is reconstructed. Based on the dataset, a model of the rubber compound is generated. Using the model on which conditions are defined, a deformation calculation is made and a physical quantity is acquired. The rubber compound model comprises a rubber component model, silica particle models and interface models surrounding the silica particle models and defined as being harder than the rubber component model.