Topology optimization for minimum mass design considering local failure constraints and contact boundary conditions

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A level set approach for topology optimization with local stress constraints (2014, background): “This approach is extended to multiple loading conditions [3] and contact boundary conditions [4].”
Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints (2012, methodology): “Such methods have been widely applied with success to problems such as compliance minimization [10] but, despite its fundamental importance in engineering design, only a relatively small number of publications appear to deal with the incorporation of local (point-wise) stress constraints [2, 3, 11, ”
Topology optimization of continuum structures with stress constraints and uncertainties in loading (2018, unknown): “̄?m ⎤⎥⎥⎥⎦ Sij, (B10) where the derivative of bki, Equation 27, can be computed as 𝜕bki 𝜕?”
Topology Optimization (2009, methodology): “Fancello [37] applied stress-constrained topology optimization to contact problems including Coulomb friction.”
Topological optimization of structures subject to Von Mises stress constraints (2010, background): “This is in contrast with the existing literature on the topic, where either dual methods are implemented [14, 16, 19, 31], with the well-known difficulties related to the irregularity of the Lagrange multiplier, or a simple power law penalization is considered [3, 4], generally leading to unfeasible”