Thermo Mechanical Damage Modelling With the LIP Field Approach

  • Goddilla Vani, Madhavi Reddy (École centrale Nantes, IIT Madras)
  • Legrain, Grégory (École centrale Nantes)
  • Chevaugeon, Nicolas (Nantes University)
  • Natarajan, Sundararajan (Indian Institute of Technology Madras)

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Thermo-mechanical damage refers to the irreversible degradation of materials caused by the concurrent influences of mechanical stress and temperature changes. The interaction between thermal strains and stresses with mechanical loads can lead to the initiation and propagation of cracks, as well as alterations in failure characteristics. The interaction of thermal and mechanical factors can accelerate damage by affecting material rigidity, durability, and thermal conduction. This kind of damage occurs in various fields, including batteries , composite materials, additive manufacturing , aerospace and structural systems. Understanding thermo-mechanical damage is essential for evaluating reliability under conditions that involve both thermal and mechanical stresses. To capture all these phenomena, a numerical model is developed by coupling the thermo-mechanical and damage equations. The damage equations are solved using the lip field approach . This approach is a new regularisation method used to simulate damage. The regularisation comes from the addition of a lipschitz constraint on the damage field which limits the spatial variation of damage and introduces an intrinsic length scale without adding gradient terms to the governing energy. Thermal and mechanical equations are solved using the finite element method. Temperature, displacement and damage are com- puted using a staggered iterative scheme. However, this comes at an increased computational cost, as it requires very fine meshes to capture the mechanical fields across the damaged zone. To reduce the computational burden, we plan to couple the approach with the Scaled Boundary Finite Element Method . The adaptive nature of the approach makes it possible to improve efficiency while retaining accuracy.