As Sai and Mike commented earlier, average value would be mean of total deformation of all nodal values. Whereas, maximum deformation reports the highest deformation a particular node has. Consider a single element with 4 corner nodes. Each node has a,b,c and d deformation values. Average deformation is the mean of a,b,c & d. Maximum deformation is the highest among a-d.
Yes, it is possible to determine ΔL by considering the maximum deformation value. Here is a quick test I did. A steel bar elongated, F=2000N, L=500mm, D=10mm, E=200GPa. Analytical results of ΔL match with max deformation value of 0.06366mm, with default mesh setting.
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