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Theory Manual Version 3.6
 Subsection A.1.4: Dyadic Product of Vectors Up Section A.1: Second-Order Tensors Subsection A.1.6: Product of Two Tensors 

A.1.5 Trace of a Second-Order Tensor

The trace of any dyad is defined by and The trace operator yields a scalar function. In component form, For any tensor , we can write , thus The trace of a tensor is the sum of its diagonal components.
 Subsection A.1.4: Dyadic Product of Vectors Up Section A.1: Second-Order Tensors Subsection A.1.6: Product of Two Tensors