• Annealing at 900 °C yields the best plasticity for 50-µm-thick stainless steel-copper composites, producing micro cups with uniform wall thickness and minimal wrinkling.
• The surface morphological finite element model, which incorporates material inhomogeneity and surface morphology, shows the closest agreement with experimental results compared to basic and Voronoi models.
• Increasing annealing temperature reduces the drawing force during micro deep drawing due to the decrease in material strength.
• The findings provide critical guidance for optimizing annealing and process parameters to enhance the quality of micro metallic components for miniaturized industrial applications.
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