Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question

Estimate the shear modulus constant, G0, for the natural rubber (NR) and the styrene butadiene rubber-natural rubber compound (SBR/NR) presented in Figure

 

### Stress-Strain Curve of Rubber Materials

This educational graph illustrates the relationship between extension ratio (λ) and stress (σ) for different rubber materials. The graph showcases two curves representing the mechanical behavior of these rubbers:

1. **NR (Natural Rubber)** - This is represented by the grey curve.
2. **SBR (70) / NR (30) Blend** - This is represented by the red curve.

#### Axes Explanation:

- **Horizontal Axis (X-Axis)**:
  - **Label**: Extension ratio, λ
  - **Range**: From 1 to 8
  - **Description**: The extension ratio is a measure of how much the rubber extends from its original length. A value of 1 means no extension, while higher values indicate greater extension.

- **Vertical Axis (Y-Axis)**:
  - **Label**: Stress, σ (in MPa)
  - **Range**: From 0 to 8 MPa
  - **Description**: Stress is the force per unit area applied to the material. It is measured in megapascals (MPa).

#### Curve Analysis:

1. **NR (Natural Rubber)**:
   - **Color**: Grey
   - **Shape**: This curve starts at the origin and rises as the extension ratio increases. It shows a nonlinear relationship, meaning the stress increases at a varying rate as the material extends.
   - **Behavior**: Natural rubber exhibits significant elasticity, allowing it to stretch and return to its original shape but with increasing resistance as the extension ratio increases.

2. **SBR (70) / NR (30) Blend**:
   - **Color**: Red
   - **Shape**: This curve also begins at the origin but rises more steeply compared to the NR curve. This indicates a higher stress at each extension ratio.
   - **Behavior**: The blend of Styrene-Butadiene Rubber (SBR) and Natural Rubber (NR) shows a different mechanical behavior, with potentially higher tensile strength and less elasticity than pure natural rubber.

#### Interpretation:

- At lower extension ratios, both materials exhibit lower stress values, indicating easier deformation.
- As the extension ratio increases, both materials require more stress to extend further.
- The SBR (70) / NR (30) blend shows higher stress at equivalent extension ratios compared to NR, indicating that this blend may be stronger and less stretchy.

This graph
Transcribed Image Text:### Stress-Strain Curve of Rubber Materials This educational graph illustrates the relationship between extension ratio (λ) and stress (σ) for different rubber materials. The graph showcases two curves representing the mechanical behavior of these rubbers: 1. **NR (Natural Rubber)** - This is represented by the grey curve. 2. **SBR (70) / NR (30) Blend** - This is represented by the red curve. #### Axes Explanation: - **Horizontal Axis (X-Axis)**: - **Label**: Extension ratio, λ - **Range**: From 1 to 8 - **Description**: The extension ratio is a measure of how much the rubber extends from its original length. A value of 1 means no extension, while higher values indicate greater extension. - **Vertical Axis (Y-Axis)**: - **Label**: Stress, σ (in MPa) - **Range**: From 0 to 8 MPa - **Description**: Stress is the force per unit area applied to the material. It is measured in megapascals (MPa). #### Curve Analysis: 1. **NR (Natural Rubber)**: - **Color**: Grey - **Shape**: This curve starts at the origin and rises as the extension ratio increases. It shows a nonlinear relationship, meaning the stress increases at a varying rate as the material extends. - **Behavior**: Natural rubber exhibits significant elasticity, allowing it to stretch and return to its original shape but with increasing resistance as the extension ratio increases. 2. **SBR (70) / NR (30) Blend**: - **Color**: Red - **Shape**: This curve also begins at the origin but rises more steeply compared to the NR curve. This indicates a higher stress at each extension ratio. - **Behavior**: The blend of Styrene-Butadiene Rubber (SBR) and Natural Rubber (NR) shows a different mechanical behavior, with potentially higher tensile strength and less elasticity than pure natural rubber. #### Interpretation: - At lower extension ratios, both materials exhibit lower stress values, indicating easier deformation. - As the extension ratio increases, both materials require more stress to extend further. - The SBR (70) / NR (30) blend shows higher stress at equivalent extension ratios compared to NR, indicating that this blend may be stronger and less stretchy. This graph
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The