Rigid-Flex PCBs are a type of printed circuit board that combines both rigid and flexible substrates into a single design. This unique combination allows for greater flexibility in the overall design of the PCB , while still maintaining the structural integrity and reliability of a traditional rigid PCB .
Rigid-Flex PCBs are becoming increasingly popular in electronic projects due to their ability to accommodate complex designs, reduce overall size and weight, and improve reliability. In this article, we will explore the advantages of using Rigid-Flex PCBs over traditional flexible PCBs in electronic projects.
Advantages of Rigid-Flex PCB over Flexible PCB
1. Improved Structural Integrity
One of the main advantages of Rigid-Flex PCBs over flexible PCBs is their improved structural integrity. While flexible PCBs are designed to be bent and flexed, they can be prone to damage if not handled carefully. Rigid-Flex PCBs, on the other hand, have a rigid substrate that provides additional support and protection to the flexible portions of the board.
This improved structural integrity makes Rigid-Flex PCBs ideal for applications where the PCB may be subjected to stress or vibration, such as in automotive or aerospace applications. The rigid portions of the board can be used to mount components or connectors, while the flexible portions allow for the PCB to be routed through tight spaces or around obstacles.
2. Reduced Size and Weight
Another advantage of Rigid-Flex PCBs is their ability to reduce the overall size and weight of the electronic device. By combining rigid and flexible substrates into a single design, Rigid-Flex PCBs can eliminate the need for separate rigid and flexible PCBs, as well as the connectors and cables required to connect them.
This reduction in size and weight can be particularly beneficial in applications where space is at a premium, such as in wearable devices or mobile phones. Rigid-Flex PCBs can be designed to fit into tight spaces and conform to the shape of the device, allowing for more compact and lightweight designs.
3. Improved Reliability
Rigid-Flex PCBs also offer improved reliability compared to flexible PCBs. The combination of rigid and flexible substrates allows for a more robust design that can withstand the stresses and strains of everyday use.
In addition, Rigid-Flex PCBs can reduce the number of connectors and cables required in the overall design, which can be a common point of failure in electronic devices. By eliminating these potential failure points, Rigid-Flex PCBs can improve the overall reliability of the device.
4. Increased Design Flexibility
Rigid-Flex PCBs offer increased design flexibility compared to traditional flexible PCBs. The combination of rigid and flexible substrates allows for more complex designs that can accommodate a wider range of components and features.
For example, Rigid-Flex PCBs can be designed with multiple layers, allowing for more complex routing and signal integrity . They can also be designed with mixed materials, such as combining FR-4 and polyimide substrates, to optimize performance and cost.
5. Cost Savings
While Rigid-Flex PCBs may have a higher initial cost compared to flexible PCBs, they can offer significant cost savings over the long term. By reducing the number of connectors and cables required in the overall design, Rigid-Flex PCBs can simplify the assembly process and reduce labor costs.
In addition, the improved reliability and durability of Rigid-Flex PCBs can reduce the need for repairs and replacements over the lifetime of the device, leading to additional cost savings.
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” alt=”” class=”wp-image-136″ >
Applications of Rigid-Flex PCB
Rigid-Flex PCBs are used in a wide range of applications, including:
Aerospace and Defense
Automotive
Medical Devices
Consumer Electronics
Industrial Automation
Application
Benefits of Rigid-Flex PCB
Aerospace and Defense
Increased reliability and durability in harsh environments
Automotive
Reduced size and weight, improved reliability in vibration-prone environments
Medical Devices
Increased design flexibility for complex devices, improved reliability
Consumer Electronics
Reduced size and weight for compact devices, increased design flexibility
Industrial Automation
Increased reliability in harsh environments, reduced size and weight
Designing with Rigid-Flex PCB
Designing with Rigid-Flex PCBs requires careful consideration of several factors, including:
Material selection: Choosing the right combination of rigid and flexible substrates is critical to achieving the desired performance and reliability.
Layer stack-up: The number and arrangement of layers in the Rigid-Flex PCB can impact signal integrity and overall performance.
Bend radius: The minimum bend radius of the flexible portions of the PCB must be carefully considered to avoid damage or failure.
Coverlay placement: The placement of coverlay material on the flexible portions of the PCB can impact flexibility and durability.
Component placement: The placement of components on the rigid portions of the PCB must be carefully considered to ensure proper alignment and functionality.
Working with an experienced Rigid-Flex PCB manufacturer can help ensure that these design considerations are properly addressed and that the final product meets the required specifications.
Manufacturing Rigid-Flex PCB
Manufacturing Rigid-Flex PCBs requires specialized equipment and expertise. The process typically involves the following steps:
Material preparation: The rigid and flexible substrates are cut to size and cleaned.
Lamination: The substrates are laminated together using heat and pressure.
Drilling: Holes are drilled through the rigid portions of the PCB for component mounting and interconnects.
Plating: The holes are plated with copper to create electrical connections between layers.
Etching: The unwanted copper is etched away, leaving behind the desired circuit patterns.
Coverlay application: Coverlay material is applied to the flexible portions of the PCB to protect the circuits and improve durability.
Solder mask application: A solder mask is applied to the rigid portions of the PCB to protect the circuits and improve solderability.
Silkscreen printing: Text and graphics are printed onto the PCB for identification and assembly purposes.
Cutting and routing: The PCB is cut and routed to its final shape and size.
Testing and inspection: The PCB is tested and inspected to ensure proper functionality and quality.
FAQ
1. What is the difference between a Rigid-Flex PCB and a flexible PCB?
A Rigid-Flex PCB combines both rigid and flexible substrates into a single design, while a flexible PCB is made entirely of flexible materials. Rigid-Flex PCBs offer improved structural integrity and reliability compared to flexible PCBs, as well as increased design flexibility and potential cost savings.
2. Can Rigid-Flex PCBs be used in high-temperature environments?
Yes, Rigid-Flex PCBs can be designed to withstand high temperatures by using appropriate materials and manufacturing techniques. For example, polyimide substrates can withstand temperatures up to 260°C, making them suitable for high-temperature applications.
3. How do I choose the right bend radius for my Rigid-Flex PCB?
The minimum bend radius of a Rigid-Flex PCB depends on several factors, including the thickness and material properties of the flexible substrate, the number of copper layers, and the desired number of bend cycles. As a general rule, the minimum bend radius should be at least 10 times the thickness of the flexible substrate to avoid damage or failure.
4. Can Rigid-Flex PCBs be used in medical devices?
Yes, Rigid-Flex PCBs are commonly used in medical devices due to their ability to accommodate complex designs and improve reliability. Rigid-Flex PCBs can be designed to meet the strict regulatory requirements for medical devices, including biocompatibility and sterilization compatibility.
5. How do I choose the right Rigid-Flex PCB manufacturer?
Choosing the right Rigid-Flex PCB manufacturer is critical to ensuring a successful project. Look for a manufacturer with experience in designing and manufacturing Rigid-Flex PCBs, as well as a proven track record of quality and reliability. Consider factors such as lead times, pricing, and customer support when making your decision.
Conclusion
Rigid-Flex PCBs offer numerous advantages over traditional flexible PCBs in electronic projects, including improved structural integrity, reduced size and weight, increased design flexibility, and potential cost savings. While designing and manufacturing Rigid-Flex PCBs requires specialized expertise, the benefits can be significant for a wide range of applications, from aerospace and defense to medical devices and consumer electronics.
When considering Rigid-Flex PCBs for your next project, it is important to work with an experienced manufacturer who can help guide you through the design and manufacturing process. By carefully considering factors such as material selection, layer stack-up, and bend radius, you can ensure that your Rigid-Flex PCB meets the required specifications and delivers the desired performance and reliability.