Polyurethane Foam Softener Chemistries: A Comparative Analysis of Effectiveness
Abstract:
Polyurethane (PU) foams, valued for their diverse applications ranging from cushioning and insulation to structural components, often require modification to achieve specific softness and flexibility. This article provides a comprehensive comparison of various polyurethane foam softener chemistries, examining their mechanisms of action, impact on foam properties, application guidelines, and relative effectiveness. We delve into the advantages and disadvantages of each softener type, focusing on their chemical composition, compatibility with different PU foam formulations, and potential effects on foam stability, durability, and other key performance characteristics. This analysis leverages both domestic and international research to offer a practical guide for selecting the appropriate softener chemistry to tailor PU foam properties for specific applications.
Table of Contents:
- Introduction
1.1 Polyurethane Foam: An Overview
1.2 The Need for Softening Agents
1.3 Scope of this Article - Classification of Polyurethane Foam Softener Chemistries
2.1 Reactive Softeners
2.1.1 Polyols
2.1.2 Chain Extenders
2.1.3 Crosslinkers
2.2 Non-Reactive Softeners
2.2.1 Plasticizers
2.2.2 Silicone Surfactants
2.2.3 Blended Softeners - Mechanism of Action: How Softeners Affect Foam Properties
3.1 Reactive Softeners: Network Modification
3.2 Non-Reactive Softeners: Chain Lubrication and Surface Modification - Detailed Analysis of Specific Softener Chemistries
4.1 Polyether Polyols
4.1.1 Product Parameters
4.1.2 Advantages and Disadvantages
4.1.3 Application Guidelines
4.2 Polyester Polyols
4.2.1 Product Parameters
4.2.2 Advantages and Disadvantages
4.2.3 Application Guidelines
4.3 Amine-Based Chain Extenders
4.3.1 Product Parameters
4.3.2 Advantages and Disadvantages
4.3.3 Application Guidelines
4.4 Glycol-Based Chain Extenders
4.4.1 Product Parameters
4.4.2 Advantages and Disadvantages
4.4.3 Application Guidelines
4.5 Glycerol-Based Crosslinkers
4.5.1 Product Parameters
4.5.2 Advantages and Disadvantages
4.5.3 Application Guidelines
4.6 Plasticizers (Phthalates, Adipates, Trimellitates)
4.6.1 Product Parameters
4.6.2 Advantages and Disadvantages
4.6.3 Application Guidelines
4.7 Silicone Surfactants
4.7.1 Product Parameters
4.7.2 Advantages and Disadvantages
4.7.3 Application Guidelines
4.8 Blended Softeners: Synergistic Effects
4.8.1 Examples and Applications
4.8.2 Advantages and Disadvantages - Impact on Foam Properties: A Comparative Study
5.1 Softness and Hardness
5.2 Tensile Strength and Elongation
5.3 Compression Set and Resilience
5.4 Dimensional Stability
5.5 Flammability
5.6 Aging Resistance - Compatibility Considerations
6.1 Polyol Type and Molecular Weight
6.2 Isocyanate Index
6.3 Catalyst System
6.4 Additive Interactions - Application Guidelines and Best Practices
7.1 Dosage Optimization
7.2 Mixing Procedures
7.3 Curing Conditions
7.4 Troubleshooting - Environmental and Safety Considerations
8.1 VOC Emissions
8.2 Toxicity
8.3 Regulatory Compliance - Future Trends in Polyurethane Foam Softeners
9.1 Bio-Based Softeners
9.2 Reactive Plasticizers
9.3 Nanomaterial-Enhanced Softening - Conclusion
- References
1. Introduction
1.1 Polyurethane Foam: An Overview
Polyurethane (PU) foams are a versatile class of polymeric materials formed by the reaction of a polyol and an isocyanate. 🧪 The resulting polymer contains urethane linkages (-NH-COO-) and, depending on the specific formulation, can exhibit a wide range of properties, from rigid and highly crosslinked to flexible and elastomeric. PU foams are broadly classified into two categories: rigid foams, primarily used for insulation, and flexible foams, widely used in cushioning, mattresses, automotive seating, and packaging. The cellular structure of PU foam, created by the incorporation of a blowing agent during the polymerization process, contributes significantly to its low density, high strength-to-weight ratio, and excellent thermal and acoustic insulation properties.
1.2 The Need for Softening Agents
While the inherent properties of PU foam are desirable in many applications, there are instances where modifications are necessary to tailor the foam’s softness and flexibility. Factors such as the type of polyol and isocyanate used, the crosslinking density, and the cell structure all contribute to the overall hardness of the foam. In applications requiring enhanced comfort, improved conformability, or reduced impact force, the addition of softening agents becomes crucial. These agents, also known as flexibilizers, work by altering the polymer network or modifying the surface properties of the foam, thereby decreasing its stiffness and increasing its flexibility.
1.3 Scope of this Article
This article aims to provide a comprehensive overview of various polyurethane foam softener chemistries and their relative effectiveness. We will explore the different types of softeners, including both reactive and non-reactive options, and analyze their mechanisms of action. Furthermore, we will delve into the impact of these softeners on various foam properties, such as softness, tensile strength, compression set, and dimensional stability. Finally, we will discuss compatibility considerations, application guidelines, environmental and safety aspects, and future trends in polyurethane foam softening technology. This in-depth analysis will enable readers to make informed decisions when selecting the appropriate softener chemistry for their specific PU foam applications.
2. Classification of Polyurethane Foam Softener Chemistries
Polyurethane foam softeners can be broadly classified into two main categories: reactive and non-reactive softeners. Reactive softeners participate in the polymerization reaction, becoming an integral part of the polymer network. Non-reactive softeners, on the other hand, remain physically dispersed within the foam matrix without chemically bonding to the polymer chains.
2.1 Reactive Softeners
Reactive softeners are typically polyols, chain extenders, or crosslinkers that have been modified to reduce the overall crosslinking density of the foam network. By controlling the functionality (number of reactive groups per molecule) and molecular weight of these components, the stiffness of the resulting foam can be effectively tuned.
2.1.1 Polyols: Polyols are the primary building blocks of PU foams, reacting with isocyanates to form the urethane linkages. Using polyols with lower functionality or higher molecular weight can reduce the crosslinking density and increase the flexibility of the foam.
2.1.2 Chain Extenders: Chain extenders are low molecular weight diols or diamines that react with isocyanates to increase the chain length of the polymer. Selecting chain extenders with flexible segments can enhance the overall softness of the foam.
2.1.3 Crosslinkers: Crosslinkers are polyfunctional alcohols or amines that create branches and crosslinks within the polymer network. Using lower amounts of crosslinkers or selecting crosslinkers with longer, more flexible chains can reduce the foam’s rigidity.
2.2 Non-Reactive Softeners
Non-reactive softeners, also known as plasticizers, are typically high-boiling organic liquids that are physically blended into the PU foam formulation. They work by reducing the intermolecular forces between the polymer chains, allowing them to slide past each other more easily, resulting in a softer and more flexible foam. Silicone surfactants, while primarily used as cell stabilizers, can also contribute to foam softening by modifying the surface properties of the foam cells.
2.2.1 Plasticizers: Plasticizers are a diverse group of chemicals that are added to polymers to increase their flexibility and processability. Common plasticizers used in PU foams include phthalates, adipates, and trimellitates.
2.2.2 Silicone Surfactants: Silicone surfactants are used to stabilize the foam cells during the foaming process and to control the cell size and uniformity. Some silicone surfactants can also act as lubricants, reducing the friction between the polymer chains and contributing to foam softening.
2.2.3 Blended Softeners: This category encompasses formulations that combine different softener types to achieve synergistic effects. For instance, a combination of a reactive polyol and a non-reactive plasticizer might offer a superior balance of softness, durability, and other key properties compared to using either softener alone.
3. Mechanism of Action: How Softeners Affect Foam Properties
The mechanism by which softeners influence the properties of PU foams differs depending on whether they are reactive or non-reactive.
3.1 Reactive Softeners: Network Modification
Reactive softeners exert their effect by directly modifying the polymer network structure.
- Reduced Crosslinking Density: Using polyols with lower functionality or reducing the amount of crosslinkers leads to a lower crosslinking density. This results in fewer interconnections between the polymer chains, allowing them to move more freely and increasing the flexibility of the foam.
- Increased Chain Length: Employing higher molecular weight polyols or using chain extenders increases the average chain length of the polymer. Longer chains tend to be more flexible than shorter chains, contributing to a softer foam.
- Incorporation of Flexible Segments: Certain reactive softeners, such as polyols with flexible polyether segments, can introduce flexible regions into the polymer backbone. These flexible segments allow for greater chain mobility and enhance the overall softness of the foam.
3.2 Non-Reactive Softeners: Chain Lubrication and Surface Modification
Non-reactive softeners operate through different mechanisms.
- Chain Lubrication: Plasticizers work by embedding themselves between the polymer chains, disrupting the intermolecular forces that hold them together. This reduces the friction between the chains, allowing them to slide past each other more easily, resulting in a softer and more flexible foam. Think of it like lubricating gears in a machine – they move more smoothly and easily.
- Surface Modification: Silicone surfactants primarily act by reducing the surface tension of the foam cells, stabilizing the foam structure, and controlling cell size. However, they can also contribute to foam softening by lubricating the cell walls and reducing their resistance to deformation. This makes the foam feel softer to the touch.
4. Detailed Analysis of Specific Softener Chemistries
This section provides a detailed analysis of specific softener chemistries, including product parameters, advantages, disadvantages, and application guidelines.
4.1 Polyether Polyols
Polyether polyols are widely used in the production of flexible PU foams due to their relatively low cost, good hydrolytic stability, and wide range of available molecular weights and functionalities.
4.1.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Molecular Weight (Mw) | 2,000 – 10,000 | g/mol |
Functionality (f) | 2-3 | |
Hydroxyl Number (OHV) | 28-56 | mg KOH/g |
Viscosity | 200-1000 | cP @ 25°C |
4.1.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Cost | Relatively low cost | Can be less resistant to solvents compared to polyester polyols |
Hydrolytic Stability | Good hydrolytic stability | Can exhibit lower tensile strength compared to polyester polyols |
Flexibility | Provides good flexibility to the foam | Susceptible to oxidative degradation in certain environments |
4.1.3 Application Guidelines:
- Higher molecular weight polyether polyols generally result in softer foams.
- Lower functionality polyether polyols reduce crosslinking density and increase flexibility.
- Polyether polyols are compatible with a wide range of isocyanates and other additives.
- Proper storage is crucial to prevent moisture absorption, which can affect foam quality.
4.2 Polyester Polyols
Polyester polyols offer improved tensile strength, solvent resistance, and abrasion resistance compared to polyether polyols, but they are typically more expensive and less hydrolytically stable.
4.2.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Molecular Weight (Mw) | 500 – 4,000 | g/mol |
Functionality (f) | 2-3 | |
Hydroxyl Number (OHV) | 56-224 | mg KOH/g |
Viscosity | 500-5000 | cP @ 25°C |
4.2.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Tensile Strength | Higher tensile strength compared to polyether polyols | More expensive than polyether polyols |
Solvent Resistance | Excellent solvent resistance | Lower hydrolytic stability compared to polyether polyols |
Abrasion Resistance | Good abrasion resistance | Can result in firmer foams compared to polyether polyols |
4.2.3 Application Guidelines:
- Polyester polyols are suitable for applications requiring high durability and solvent resistance.
- Careful selection of the polyester polyol type is crucial to ensure compatibility with the isocyanate and other additives.
- Hydrolytic stability can be improved by using stabilized polyester polyols or by incorporating additives that protect against hydrolysis.
4.3 Amine-Based Chain Extenders
Amine-based chain extenders, such as ethylene diamine and diethylene triamine, react rapidly with isocyanates and are often used to create rigid or semi-rigid PU foams. However, modified versions with lower reactivity can be used to soften flexible foams.
4.3.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Molecular Weight (Mw) | 60 – 200 | g/mol |
Functionality (f) | 2-4 | |
Amine Number | 500-1500 | mg KOH/g |
Viscosity | Low | cP @ 25°C |
4.3.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Reactivity | High reactivity | Can lead to rapid gelation and processing difficulties |
Mechanical Properties | Can improve tensile strength and elongation | Can impart a characteristic amine odor to the foam |
Cost | Relatively low cost | Requires careful handling due to potential toxicity |
4.3.3 Application Guidelines:
- Amine-based chain extenders should be used with caution in flexible foam formulations due to their high reactivity.
- Modified amine-based chain extenders with lower reactivity are preferred for softening flexible foams.
- Proper ventilation is required during processing to minimize exposure to amine vapors.
4.4 Glycol-Based Chain Extenders
Glycol-based chain extenders, such as ethylene glycol, propylene glycol, and butane diol, are commonly used to increase the chain length and flexibility of PU foams.
4.4.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Molecular Weight (Mw) | 62 – 90 | g/mol |
Functionality (f) | 2 | |
Hydroxyl Number (OHV) | 1200-1800 | mg KOH/g |
Viscosity | Low | cP @ 25°C |
4.4.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Flexibility | Increases chain length and flexibility | Can reduce the tensile strength of the foam if used in excess |
Reactivity | Moderate reactivity | Can be hygroscopic, absorbing moisture from the air |
Cost | Relatively low cost | Requires careful handling due to potential flammability |
4.4.3 Application Guidelines:
- Glycol-based chain extenders should be used in moderation to avoid compromising the tensile strength of the foam.
- Proper storage is crucial to prevent moisture absorption.
- Safety precautions should be taken to prevent fire hazards due to the flammability of glycols.
4.5 Glycerol-Based Crosslinkers
Glycerol, a trihydric alcohol, acts as a crosslinker in PU foam formulations, creating branches and interconnections within the polymer network. Using lower amounts of glycerol or replacing it with a less functional crosslinker can reduce the rigidity of the foam.
4.5.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Molecular Weight (Mw) | 92 | g/mol |
Functionality (f) | 3 | |
Hydroxyl Number (OHV) | 1827 | mg KOH/g |
Viscosity | 1412 | cP @ 20°C |
4.5.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Crosslinking | Provides good crosslinking efficiency | Can result in rigid foams if used in high concentrations |
Cost | Relatively low cost | Can be hygroscopic |
Availability | Widely available | May not be suitable for all foam formulations |
4.5.3 Application Guidelines:
- Glycerol should be used sparingly in flexible foam formulations to avoid excessive crosslinking.
- Alternative crosslinkers with lower functionality or longer, more flexible chains can be used to reduce foam rigidity.
- Proper storage is crucial to prevent moisture absorption.
4.6 Plasticizers (Phthalates, Adipates, Trimellitates)
Plasticizers are non-reactive organic liquids that are added to PU foams to increase their flexibility and reduce their stiffness. Common plasticizers include phthalates, adipates, and trimellitates.
4.6.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Molecular Weight (Mw) | 200 – 500 | g/mol |
Viscosity | 20-100 | cP @ 25°C |
Boiling Point | >200 | °C |
4.6.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Flexibility | Significantly increases foam flexibility | Some plasticizers have potential health and environmental concerns |
Processability | Improves foam processability | Can migrate out of the foam over time, leading to embrittlement |
Cost | Relatively low cost (for some phthalates) | Regulatory restrictions on certain plasticizers |
4.6.3 Application Guidelines:
- The type and amount of plasticizer should be carefully selected to ensure compatibility with the polyol and isocyanate.
- Plasticizer migration can be minimized by using higher molecular weight plasticizers or by incorporating migration inhibitors.
- Consider using alternative plasticizers with improved environmental and safety profiles.
4.7 Silicone Surfactants
Silicone surfactants are primarily used to stabilize the foam cells during the foaming process and to control cell size and uniformity. However, they can also contribute to foam softening by modifying the surface properties of the foam cells.
4.7.1 Product Parameters:
Parameter | Typical Range | Unit |
---|---|---|
Viscosity | 50-500 | cP @ 25°C |
Silicone Content | 30-90 | % |
Specific Gravity | 1.0-1.1 |
4.7.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Cell Stabilization | Excellent cell stabilization | Can affect foam flammability |
Cell Size Control | Provides control over cell size and uniformity | Can be sensitive to formulation changes |
Softness | Contributes to foam softening | Can cause foam collapse if used in excess |
4.7.3 Application Guidelines:
- The type and amount of silicone surfactant should be carefully selected to match the polyol and isocyanate system.
- Overuse of silicone surfactant can lead to foam collapse or instability.
- Proper mixing is essential to ensure uniform dispersion of the silicone surfactant in the foam formulation.
4.8 Blended Softeners: Synergistic Effects
Combining different types of softeners can often lead to synergistic effects, resulting in a superior balance of properties compared to using a single softener alone.
4.8.1 Examples and Applications:
- A combination of a reactive polyether polyol and a non-reactive plasticizer can provide a balance of softness, durability, and cost-effectiveness.
- Adding a silicone surfactant to a polyol/plasticizer blend can further enhance foam softness and stability.
- Using a blend of different plasticizers can optimize the compatibility and migration resistance of the softener system.
4.8.2 Advantages and Disadvantages:
Feature | Advantage | Disadvantage |
---|---|---|
Property Optimization | Allows for fine-tuning of foam properties | Requires careful formulation and testing |
Synergistic Effects | Can achieve superior performance compared to single softeners | Can be more complex to formulate and control |
Customization | Enables customization of foam properties for specific applications | May increase the cost of the foam formulation |
5. Impact on Foam Properties: A Comparative Study
The selection of a softener chemistry significantly impacts the final properties of the polyurethane foam. A comparative study is presented below, outlining the effects of different softeners on key foam characteristics.
Softener Chemistry | Softness/Hardness | Tensile Strength/Elongation | Compression Set/Resilience | Dimensional Stability | Flammability | Aging Resistance |
---|---|---|---|---|---|---|
High Mw Polyether Polyol | ↑↑↑ | ↓ | ↑ | ↔ | ↔ | ↔ |
Low Functionality Polyol | ↑↑ | ↓↓ | ↑ | ↔ | ↔ | ↔ |
Glycol Chain Extender | ↑ | ↓ | ↔ | ↔ | ↔ | ↔ |
Amine Chain Extender | ↓ | ↑↑ | ↓ | ↔ | ↔ | ↔ |
Phthalate Plasticizer | ↑↑↑ | ↓↓ | ↔ | ↓ | ↑ | ↓ |
Adipate Plasticizer | ↑↑↑ | ↓↓ | ↔ | ↓ | ↔ | ↑ |
Silicone Surfactant | ↑ | ↔ | ↔ | ↔ | ↑ | ↔ |
Glycerol Crosslinker | ↓↓ | ↑ | ↓ | ↑ | ↔ | ↑ |
Key:
- ↑ = Increase
- ↓ = Decrease
- ↔ = No Significant Change
- The number of arrows indicates the magnitude of the change.
5.1 Softness and Hardness: The primary objective of using softeners is to reduce the hardness and increase the softness of the foam. Plasticizers and high molecular weight polyether polyols are particularly effective in achieving this goal.
5.2 Tensile Strength and Elongation: Softening agents generally reduce the tensile strength of the foam, as they decrease the crosslinking density or weaken the intermolecular forces between the polymer chains. The choice of softener should consider the trade-off between softness and mechanical strength.
5.3 Compression Set and Resilience: Compression set is a measure of the permanent deformation of the foam after being subjected to compression. Resilience is a measure of the foam’s ability to recover its original shape after being compressed. Softeners can affect both properties, with some softeners increasing compression set and others decreasing it.
5.4 Dimensional Stability: Dimensional stability refers to the foam’s ability to maintain its shape and size over time and under varying environmental conditions. Some softeners, particularly plasticizers, can reduce dimensional stability by increasing the foam’s susceptibility to shrinkage or swelling.
5.5 Flammability: Certain softeners, such as some plasticizers and silicone surfactants, can increase the flammability of the foam. Flame retardants may be required to mitigate this effect.
5.6 Aging Resistance: Aging resistance refers to the foam’s ability to resist degradation over time due to exposure to factors such as heat, light, and humidity. Some softeners can improve aging resistance, while others can decrease it.
6. Compatibility Considerations
The compatibility of the softener with the other components of the PU foam formulation is crucial for achieving optimal foam properties.
6.1 Polyol Type and Molecular Weight: The choice of softener should be compatible with the type of polyol used (e.g., polyether or polyester). The molecular weight of the polyol also plays a role, as higher molecular weight polyols may require different types and amounts of softeners.
6.2 Isocyanate Index: The isocyanate index, which is the ratio of isocyanate to polyol, affects the crosslinking density of the foam. The amount of softener should be adjusted to maintain the desired level of softness at the target isocyanate index.
6.3 Catalyst System: The catalyst system used to accelerate the urethane reaction can also influence the effectiveness of the softener. Some catalysts may react with certain softeners, reducing their activity or altering their effect on foam properties.
6.4 Additive Interactions: Other additives used in the foam formulation, such as blowing agents, stabilizers, and flame retardants, can interact with the softener, affecting its performance. Careful testing is required to ensure compatibility and avoid unwanted side effects.
7. Application Guidelines and Best Practices
Proper application of softeners is essential for achieving the desired foam properties and avoiding processing problems.
7.1 Dosage Optimization: The optimal dosage of softener depends on the specific formulation and the desired level of softness. It is important to conduct experiments to determine the optimal dosage for each application.
7.2 Mixing Procedures: The softener should be thoroughly mixed with the polyol and other components of the foam formulation before adding the isocyanate. Proper mixing ensures uniform distribution of the softener and prevents localized variations in foam properties.
7.3 Curing Conditions: The curing conditions, such as temperature and humidity, can affect the performance of the softener. Optimizing the curing conditions can improve the foam’s softness, stability, and other properties.
7.4 Troubleshooting: Common problems associated with softener use include foam collapse, cell instability, and excessive shrinkage. Troubleshooting these problems often involves adjusting the softener dosage, changing the type of softener, or modifying the mixing or curing conditions.
8. Environmental and Safety Considerations
The environmental and safety aspects of polyurethane foam softeners are increasingly important.
8.1 VOC Emissions: Some softeners can release volatile organic compounds (VOCs) during foam production or use. VOC emissions can contribute to air pollution and pose health risks. Choosing low-VOC softeners or implementing VOC control technologies can mitigate these concerns.
8.2 Toxicity: Some softeners have potential toxicity concerns, such as endocrine disruption or carcinogenicity. Selecting softeners with lower toxicity profiles and implementing appropriate safety measures during handling and processing can minimize these risks.
8.3 Regulatory Compliance: The use of certain softeners may be subject to regulatory restrictions due to environmental or health concerns. It is important to comply with all applicable regulations when selecting and using softeners.
9. Future Trends in Polyurethane Foam Softeners
The field of polyurethane foam softeners is constantly evolving, with ongoing research and development focused on improving performance, sustainability, and safety.
9.1 Bio-Based Softeners: Bio-based softeners, derived from renewable resources such as vegetable oils and sugars, are gaining increasing attention as environmentally friendly alternatives to traditional petroleum-based softeners.
9.2 Reactive Plasticizers: Reactive plasticizers, which chemically bond to the polymer network during the foaming process, offer improved migration resistance and durability compared to non-reactive plasticizers.
9.3 Nanomaterial-Enhanced Softening: Nanomaterials, such as carbon nanotubes and graphene, can be incorporated into PU foams to enhance their mechanical properties and improve their softening performance.
10. Conclusion
The selection of the appropriate polyurethane foam softener chemistry is a critical step in tailoring foam properties for specific applications. This article has provided a comprehensive overview of various softener types, their mechanisms of action, their impact on foam properties, and their compatibility considerations. By carefully considering these factors, manufacturers can select the optimal softener chemistry to achieve the desired balance of softness, durability, safety, and environmental performance. Ongoing research and development efforts are focused on developing more sustainable and high-performance softeners, ensuring that polyurethane foams continue to meet the evolving needs of a wide range of industries.
11. References
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