FEA – Dam GATE
FEA – Conveyor Chain
FEA – Cable Short
Description of Finite Element Analysis
Finite Element Analysis (FEA) identifies potential failure modes before fabrication, ensuring structural integrity, code compliance, and optimized designs that reduce risk and accelerate time-to-market.
Quick Navigation
- What is FEA?
- What are the Benefits of FEA?
- Background of FEA
- Types of Analysis
- Factors of Safety
- Applications of FEA
- How FEA is Performed
- References & Resources
- O’Donnell Consulting Clients
Finite Element Analysis (FEA) has become the industry standard for predicting component behavior under real-world conditions. From pressure vessel design to failure investigation, FEA enables engineers to validate structural integrity, optimize geometries, and demonstrate code compliance with unprecedented accuracy.
What is Finite Element Analysis (FEA)
It is a computational method that predicts how components and assemblies respond to mechanical forces, thermal loads, and vibration—enabling engineers to identify failure modes and optimize designs before fabrication. The technique works by dividing complex structures into thousands of smaller elements, each representing a portion of the whole system.
Mathematical equations governing stress, strain, heat transfer, or other physical phenomena are solved across all elements simultaneously, revealing how the entire structure behaves under specified conditions. This approach handles geometric complexity, material nonlinearity, and combined loading scenarios that would be impossible to analyze using traditional hand calculations alone, making FEA the industry standard for validating structural integrity, demonstrating code compliance, and supporting critical engineering decisions across manufacturing, energy, petrochemical, and other industries.
What are the Benefits of FEA?
- Graphical software tool that displays stresses, strains and displacements
- Pinpoints design deficiencies
- Virtual prototyping
- Efficient and less expensive design cycle – increasing productivity and profit
- Used to quantify stress, vibration, thermal cycling, fatigue, buckling
- Used to ensure structural integrity to Codes as API & ASME
- Can be used to distinguish between failures due to design deficiencies, materials defects, fabrication errors, and abusive use
- Provides quantified results previously based on metallurgical and mechanical testing
- Provides excellent visual aids and animations easily understood by juries
Background of FEA
Finite element analysis is used to analyze a wide variety of components for all types of loads including mechanical, vibratory, seismic, heat transfer, electromagnetics, and fluid flow.
FEA software is readily available and is commonly used in engineering design & analysis. The engineer using FEA should be experienced with engineering mechanics and finite element analysis principles – as well as understand the requirements of various Codes including ASME.
Development of FEA began in the 1940’s, and by the 1950’s it was used by aerospace engineers to design better aircraft structures. Since then, aided by the rapid growth of computing power, the method has continually developed, and is now the tool of choice for analysis by mechanical, civil, biomechanical, and other engineers. Read more about the History of Finite Element Analysis.
Types of Analysis
Linear Static FEA – the most common form of finite element analysis, used when materials behave elastically and loads are applied slowly enough that inertial effects can be ignored. Solves for stress, strain, and displacement under steady mechanical or pressure loads, providing the baseline structural integrity assessment required by codes including ASME Section VIII Division 2.
Fatigue FEA – evaluates component life under cyclic loading conditions where repeated stress fluctuations can initiate and propagate cracks over time. Identifies high-cycle and low-cycle fatigue risks at stress concentrations, welds, and geometric transitions, supporting life assessment per ASME Section III and Section VIII Division 2 fatigue design procedures.
Nonlinear FEA
– for scenarios where material properties, geometry changes, or contact interactions don’t comply with linear assumptions. Unlike linear FEA, it models relationships where outputs (e.g., stress) aren’t proportional to inputs (e.g., load). Examples include simulating plastic deformation, or creep in high-temperature environments, or simulations where surfaces collide or separate.
Dynamic FEA – evaluates time-dependent loads, including vibrations, impacts, and transient forces. Applications include (1) Modal Analysis, which identifies natural frequencies to avoid resonance in structures like bridges or turbine blades (2) Seismic Response and (3) Shock/Impact Analysis, such as aerospace component durability during launch.
Thermal FEA – simulates heat transfer (conduction, convection, radiation) and its effects on materials and systems. Applications include Electronics Cooling and Thermo-Mechanical Analysis, which predicts thermal stresses in welding processes or high-temperature industrial equipment.
Factors of Safety
Typically, acceptable limits are defined by a factor of safety – which is the ratio of the stress in a component, to the allowable stress of the material. If the factor of safety is too small, the possibility of failure becomes unacceptably large; on the other hand, if the factor is unnecessarily large, the result is a uneconomical or nonfunctional design.
For the majority of structural and machine applications, factors of safety are specified by design specifications or codes written by committees of experienced engineers, such as the American Concrete Institute (building codes requirements for reinforced concrete) or the (ASME) American Society of Mechanical Engineers (codes for pressure vessels, heat exchangers, and other process equipment).
Applications
FEA applies across virtually every engineering discipline where structural integrity, thermal performance, or dynamic response matters.
Civil & Structural Engineering
- Bridge and building analysis under seismic and wind loads
- Infrastructure evaluation and life assessment
- Foundation and support structure design
Aerospace & Defense
- Aircraft wing stress analysis and optimization
- Turbine blade vibration and thermal cycling
- Military systems and defense equipment (MIL-STD specifications)
Manufacturing & Industrial Equipment
- Machine component validation
- Material handling equipment
- Production tooling under operational loads
- Weld joint design and analysis (AWS – American Welding Society standards)
Petrochemical & Refining
- Storage tanks and process vessels (API – American Petroleum Institute codes)
- Refinery equipment structural integrity
- Pipeline and piping system stress analysis
Power Generation & Energy
- Pressure vessel design and analysis (ASME Boiler & Pressure Vessel Code)
- Heat exchanger thermal performance evaluation
- Piping system flexibility and support analysis
- Fitness-for-service evaluations of aging equipment
Code Compliance: FEA design and analysis is performed to industry-specific codes depending on the application. For manufacturing, petrochemical, and power generation industries, the ASME Boiler & Pressure Vessel Code (Section VIII Division 2) provides the authoritative framework, with FEA serving as a critical tool for demonstrating compliance through design-by-analysis approaches. Often, other codes are implemented.
How FEA is Performed
Using a heat exchanger as an example problem – various steps are taken – such as benefiting from symmetry.
Analysis is done by modeling the structure into thousands of small pieces (finite elements). Breaking the entire structure into such small pieces or “elements” is called discretization. The solution to the governing equations is closely approximated within each element, resulting in a number of equations that need to be solved for every element.
Shown here is a Heat Exchanger.
Since the Heat Exchanger has Symmetry, only a Slice needs to be Modelled.
Instead, all the equations from all the elements over the entire structure need to be solved simultaneously. This task can only be performed by computers. It is noteworthy that, as the structure is broken into a larger number of elements, a greater number of simultaneous equations need to be solved. Thus, typically, results for more complex structures require more computing power.
Whenever possible, symmetry is used to minimize model complexity. Typically finer meshes are used in the locations where the highest stress or heat flow may exist, allowing quicker solutions to what would otherwise take longer computation time. Finite element analysis is often used to verify design integrity and identify critical locations on components without having to build the part or assembly – and provides results that define areas of high strains/stresses which may or may not be life-limiting to the component.
Shown here is a Temperature Distribution Model of the Heat Exchanger.
References
1) “Finite Element Analysis – Theory and Application” S. Moaveni, Prentice Hall, 1999
2) “An Introduction to the Finite Element Method” J.N. Reddy, McGraw Hill 1993
3) “Building Better Products with Finite Element Analysis” V. Adams & A. Askenazi, Onward Press, 1999
FEA Related Resources
– Ansys Software
– NAFEMS: International Assoc. of Engineering Modelling, Analysis and Simulation
Engineering Applications – O’Donnell Typical List of Clients
We’ve performed structural analysis, design optimization, CFD, thermal, stress, vibration and fatigue analysis for clients in industries including energy, mining, and petrochemical. They include::
- Companies that may have FEA analysis capabilities – but require assistance to meet a deadline.
- Companies that require an independent engineering review or a Fitness-For-Service.
- Manufacturers with clients who require stress, thermal, or vibration analyses to confirm structural integrity and compliance to specific Codes.
- Fabricators and/or owner/operators that wish to perform a failure investigation – determining the root cause, and developing improved, safer designs.
- Owner/operators and their representatives that wish to perform a failure investigation to determine liability.
Forensic / Expert Witness Applications
For over 30 years, we’ve been performing engineering design, analysis and expert witness services. We assist in determining whether a component was used improperly (failure to warn), manufactured incorrectly (manufacturing defect), or initially designed improperly (design defect).
We have successfully assisted Legal teams and Insurers requiring expert witness testimony and forensic analysis in State, Federal, and International courts with FEA-based evidence and expert testimony.
Learn from the experience of others. Especially when one such “other” is Dr. William O’Donnell, PhD, PE, Founder and President of O’Donnell Consulting Engineers, Inc., and ASME “Engineer of the Year” – his 50 years of experience in analysis of components including fatigue and fracture safety evaluations and failure analyses are now comprised in this volume.
If you are interested learning more in Engineering Design, Manufacturing and Construction, as well as Failure Analysis, then this book is a must have!
$49.95*
* Does not include shipping, handling or tax
