Finite Element Analysis: What Is It & How It Works

- Updated on April 9, 2024

What is finite element analysis? This is a question that many people have, but don’t know how to find the answer. In this blog post, we will discuss finite element analysis in depth and explain what it is and how it works.

We will also provide examples of how FEA can solve various engineering problems. By the end of this post, you will clearly understand this analysis and how it can improve your engineering designs!

What is finite element analysis (FEA)?

Finite element analysis (FEA) is a numerical method used to solve engineering problems. It involves breaking a complex problem down into smaller, more manageable parts, and then solving these individual problems using mathematical equations.

Then, engineers combine the solution to each individual problem to form an ultimate solution for the entire problem.

To explain, FEA is a numerical technique for finding approximate solutions to boundary value problems for solid, structural, and fluid mechanics. It uses “finite element models”, which are distorted versions of the physical structure.

What is FEM?

The finite element method is based on the principle of displacement continuity. This principle states that the total displacement at a point in a structure is equal to the sum of the displacements of all the elements that make up the structure. So, this principle is used to derive mathematical equations that govern the behavior of the structure.

These equations are then discretized and solved using numerical methods. The finite element method is a dynamic tool that can solve a wide variety of engineering problems.

What does FEM mean in engineering?

FEM is an abbreviation for finite element method. It is a numerical method used to solve engineering problems.

What other techniques use FEM?

Many modern techniques use the method of finite elements because it required by more rigorous methods, such as the method of characteristics or numerical integration.

Also, finite element methods are used in finite difference methods, which are discretization of differential equations.

People use finite element methods in finite volume methods, which are discretization of partial differential equations.

Are FEM and FEA the same?

No, finite element analysis (FEA) and finite element method (FEM) are not the same.

FEA is a numerical method that experts use to solve engineering problems, while FEM is the basis for this method. FEM is a mathematical tool that experts use to derive equations that govern the behavior of a structure.

These equations are then discretized and solved using numerical methods. FEA is the application of these methods to solve engineering problems.

Do you want to learn more about FEM? Then, we recommend you read our article Finite Element Method: What Is Its Role In Engineering?

What is the significance of finite element analysis?

The finite element method is a powerful tool that can solve a wide variety of engineering problems. Also, this technique can find approximate solutions for a wide variety of purposes, including design and testing.

Over decades, engineers have used it to improve the design of everything from bridges and buildings to aircraft and spacecraft.

FEA is an essential tool for engineers, and it continues to play a critical role in the advancement of engineering knowledge and technology.

What are the applications of finite element analysis?

The applications of FEA are vast and varied. Some of the most common applications include:

  • structural analysis
  • fluid flow analysis
  • heat transfer analysis
  • stress analysis
  • vibration analysis
  • acoustic analysis

These are just a few of the many ways in which an engineer can use this analysis.

Are you ready to bring your product idea to life? Our team of experts can help you get started! We use FEA, FEM, Kinematic and Dynamic analysis and much more techniques to get your product the best performance. Feel free to contact us today if you have any questions!

What industries can benefit from using finite element analysis?

Engineers can apply FEA in a wide variety of industries, including:

  • architecture
  • aerospace engineering
  • automotive engineering
  • biomedical engineering
  • chemical engineering
  • civil engineering
  • electrical engineering
  • environmental engineering
  • materials science and engineering
  • mechanical engineering
  • structural engineering, and many more.

Each of these industries can benefit from using this analysis to improve the design of products and structures.

What are the benefits of finite element analysis?

finite element analysis benefits

There are many benefits of FEA. One benefit is that finite element analysis can improve the design of a structure.

Also, it can help identify potential problems with a structure before you build the product. This can save time and money by avoiding costly mistakes.

Another benefit of FEA is that it can study a wide variety of engineering problems. This flexibility makes it a valuable tool for engineers.

Finally, FEA is constantly evolving and improving. As scientists develop new techniques and methods, this analysis becomes an even more powerful tool for engineers.

Do you want to ensure you get the best results from FEA? Then, our finite element analysis service might be the perfect fit to your needs!

What are the limitations of FEA?

Like any tool, it has its limitations. One limitation is that FEA can be time-consuming and computationally expensive.

Also, it can only provide an approximate solution to a problem. This means that there is always some degree of uncertainty when using FEA.

Finally, it is not always applicable to every problem. Certain problems are better suited for other methods, such as analytical or experimental methods.

Despite these limitations, FEA is a valuable tool that can solve a wide variety of engineering problems.

If FEA can solve these problems, what are the chances that it will not work for your specific need?

How does finite element analysis work?

Let’s look at an example to see how FEA works. Suppose we want to calculate the deflection of a beam under a load. We can model this problem using the finite element method by following the next steps.

First, we discretize the beam into several minor elements. We then assign each element a set of mathematical equations that govern its behavior.

These equations are then solved numerically to calculate the deflection of each element. We then combine the solutions for all the elements to form an ultimate solution for the entire beam.

This is a very simplified explanation of how this analysis works. In reality, the process is much more complex.

However, this example should give you a general idea of how someone can use the finite element method to solve engineering problems.

When to use FEA?

The short answer? Every time you have a new product idea.

Seriously though, engineers can use FEA in a wide variety of situations.

Some common examples include:

  • Designing a new product.
  • Improving an existing product.
  • Analyzing a structure for potential failure.
  • Investigating the cause of an unexpected failure.
  • Modeling a complex physical phenomenon.
  • Optimizing a design.

You can use FEA in just about any situation where you need to understand how a structure or product behaves under load. It is a powerful tool that can provide accurate results in a short amount of time.

If you’re not sure whether FEA is right for your project, feel free to contact us. We would be happy to chat with you about your individual needs and see if FEA is a good fit.

How can FEA help your business succeed?

finite element analysis success

If you are in the business of getting new product ideas and creating your own products, this analysis can help you succeed.

To explain, if you have a new product idea, or you aim to fix or redesign a product, FEA can help by providing a virtual model of the product. This will allow you to see how your new product works or how it might fail.

In addition, finite element analysis can help you test different solutions for your product. This will save time and money by allowing you to test different solutions virtually before committing to a physical prototype.

Also, this analysis can help you improve the manufacturability of your product. By understanding how your manufacturer is going to make the product, FEA can help you optimize the design for manufacturing.

Thus, you get to deliver products that satisfy your customers’ needs while also being cost-effective to manufacture.

Do you wonder what design for manufacturing is? Then, we recommend you read our article What Is Design For Manufacturing & Why Is It Important?

How can finite element analysis be used to improve the design of products?

FEA can improve the design of products in a variety of ways.

For example, an engineer can use FEA to:

  • Test different design solutions.
  • Improve the manufacturability of products.
  • Understand how a product will behave in different environments.
  • Optimize the design of a product.

These are just a few examples of how finite element analysis can improve the design of products.

If you are looking to improve the design of your products, then FEA is a powerful tool that can help you succeed.

Do you need help with simulation or FEA?

FEA can achieve accurate solutions to complex problems in a fraction of the time. Thus, it makes sense to use finite element analysis whenever possible.

Hiring the right engineer to handle your finite element analysis can be the difference between success and failure.

At Inorigin, we have a team of highly experienced engineers who are experts in finite element analysis. We offer a wide range of services that can help you get the most out of your product development process.

If you’re not sure whether FEA is the right tool for your project, or if you need help with simulation, product design, prototyping, or engineering, we can help.

We would be more than happy to chat with you about your specific needs and see if FEA is the right fit. Feel free to contact us with any questions!

What is the future of finite element analysis?

The future of finite element analysis is bright. As scientists discover new techniques and methods, FEA will become an even more powerful tool for engineers. Also, it will continue to play a vital role in the advancement of engineering knowledge and technology.

Engineers can rely on finite element analysis to provide accurate and reliable results for a wide variety of engineering problems. As finite element analysis evolves, it will become an even more indispensable tool for engineers.

Do you want my team to bring your next product idea to life?

Picture of George Petropoulos

George Petropoulos

Founder of Inorigin - Mechanical engineer with passion for bringing innovative products to life with ingenious design strategy.

Connect with me on LinkedIn
Picture of George Petropoulos

George Petropoulos

Founder of Inorigin - Mechanical engineer with passion for bringing innovative products to life with ingenious design strategy.

Connect with me on LinkedIn
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