Fatigue Analysis in Finite Element Method: Fundamentals, Approaches, and Ansys Solutions

Fatigue Analysis in Finite Element Method: Fundamentals, Approaches, and Ansys Solutions


In engineering design, safety and durability cannot be guaranteed by static strength calculations alone. Most real-world structures — aircraft wings, automotive chassis, pipelines, bridges, gears, or welded constructions — operate under repeated loading conditions. This is where fatigue analysis becomes critical.

At Fetech İleri Mühendislik, with advanced fatigue solutions powered by Ansys, it is possible to predict product life accurately, reduce prototype testing costs, and increase reliability.

What is Fatigue?

Fatigue is the process of material damage and eventual fracture due to cyclic stresses or strains over time. A design that is perfectly safe under a single static load may fail after millions of loading cycles.

Fatigue damage typically occurs in three stages:

Crack initiation: Starts at surface imperfections, weld toes, or geometric notches with stress concentrations.

Crack propagation: The crack grows with each cycle, reducing the load-bearing cross-section.

Final fracture: The remaining section cannot carry the load, resulting in sudden failure.

Approaches in Fatigue Analysis

Fatigue analysis can be performed using three main approaches, depending on the material behavior and loading type.

1) S-N (Stress–Life) Approach

Suitable for High-Cycle Fatigue (HCF).

Assumes elastic material behavior.

Uses experimental Wöhler curves.

Mean stress effects are corrected with Goodman, Gerber, or Walker methods.

2) ε-N (Strain–Life) Approach

Suitable for Low-Cycle Fatigue (LCF).

Applied when plasticity is significant.

Based on Manson–Coffin–Basquin and Ramberg–Osgood relationships.

Elastic-plastic corrections such as Neuber or Glinka are applied to local stresses.

3) Crack Growth (da/dN) Approach

Predicts the propagation of existing flaws or cracks.

Paris–Erdogan law: da/dN = C·(ΔK)^m

More advanced NASGRO model accounts for crack closure and ΔK_th thresholds.

Widely used in aerospace and defense applications for critical parts.

Load Data Preparation

Accurate load definition is the cornerstone of reliable fatigue analysis.

Time Domain Analysis:

Stress/strain time histories are obtained.

Cycles are extracted using the Rainflow algorithm.

Damage accumulation is calculated using the Miner rule.

Frequency Domain (PSD) Analysis:

Applied for random vibration loads (e.g., automotive, railway, aerospace).

Fatigue damage is estimated from spectral moments.

The Dirlik method is the most commonly used approach.

Material Data and Standards

Reliable fatigue analysis requires precise material characterization.

S-N curves: Experimentally obtained for different load ratios (R-values).

ε-N parameters: K′, n′, σ′f, ε′f, b, and c coefficients.

Mean stress correction models:

Goodman (linear)

Gerber (parabolic)

Morrow & Smith-Watson-Topper (SWT) (effective for LCF conditions)

Standards

ASTM E606 / ISO 12106 → Low-cycle fatigue testing

ASTM E1049 → Rainflow counting method

ISO 12111 / ASTM E2368 → Thermo-mechanical fatigue

EN 1993-1-9 (Eurocode 3) and IIW guidelines → Fatigue design of welded joints

Fatigue in Welded Joints

Fatigue behavior in welded structures is different due to geometric discontinuities and residual stresses. Evaluation methods include:

Nominal stress approach

Hot-spot stress method (extrapolation near the weld toe)

Structural stress method

Fatigue life prediction is carried out according to IIW recommendations and Eurocode 3 standards.

Multiaxial Fatigue

Real components rarely experience uniaxial loads. For this reason, critical plane methods are applied:

Findley: Considers shear stress plus normal stress on the critical plane.

SWT (Smith-Watson-Topper): σ_max·ε_a parameter.

Brown-Miller / Fatemi-Socie: Effective for shear-dominated low-cycle fatigue.

Dang Van: Micro-scale shear and hydrostatic stress; well-suited for HCF.

Fatigue Analysis with Ansys

Ansys Mechanical Fatigue Tool and Ansys nCode DesignLife provide comprehensive solutions for fatigue assessment.

Ansys Mechanical Fatigue Tool

S-N and ε-N approaches

Mean stress correction methods

Time-domain and PSD-based fatigue analysis

Critical plane evaluation

Ansys nCode DesignLife

Extensive material database

Welded joint fatigue analysis according to IIW and Eurocode standards

Multiaxial fatigue criteria

Crack growth and remaining life predictions

Calibration with experimental test data

Common Mistakes in Fatigue Analysis

Using only peak element stresses without structural evaluation

Selecting inappropriate mean stress correction models

Ignoring plasticity effects in low-cycle fatigue

Evaluating welded joints with local notch stresses instead of hot-spot stresses

Neglecting environmental effects such as surface finish, temperature, or corrosion

Reliable Solutions with Fetech İleri Mühendislik

Fatigue analysis is not just a calculation step — it is a critical engineering process directly affecting safety, cost efficiency, and reliability.

With the advanced fatigue solutions of Fetech İleri Mühendislik powered by Ansys, you can perform:

Uniaxial and multiaxial fatigue assessments

Time-domain and PSD-based vibration fatigue analyses

Welded joint evaluations based on IIW and Eurocode standards

Crack growth simulations and remaining life predictions

all in a standard-compliant, accurate, and efficient way.