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I was reading chapter introduction about Stress and the author wrote the following about stress tensors:

"Since the current configuration of many problems, especially those involving solids, is not known, it is therefore not convenient to work with stress tensors which are expressed in terms of spatial coordinates. For some cases it is more convenient to work with stress tensors referred to the reference configuration or an intermediate configuration."

Is the material coordinates more useful since its hard to determine the current configuration? If yes,then why is it complicated?

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    $\begingroup$ Consider a tensile test on a metal cylinder. Almost every experiment defines stress as the applied force divided by the initial cross-sectional area. Why don't they use the current cross-sectional area at each time instant instead? If you can answer that to your satisfaction, you'll have your answer. $\endgroup$ – Biswajit Banerjee May 8 at 21:32
  • $\begingroup$ @BiswajitBanerjee so the answer is that the current cross section is in a constant change and its complicated to keep measuring the new cross section. So its better using the reference section. This answers my question. Thank you. $\endgroup$ – user134613 May 8 at 23:21

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