I can help you find the mathematical formulation for “dynamic temp-disp explicit” in Abaqus. According to the web search results, one possible source is the Virginia Tech documentation that explains the parameters and options for this type of analysis. Another possible source is the Abaqus Acumen YouTube video that shows a step by step tutorial for a disk brake analysis using dynamic temp-disp explicit. You can also check the other web search results for more information. I hope this helps you with your Abaqus model

I’m glad to hear that you found the Abaqus documentation 2016 useful. It seems that you are interested in the topic of plastic crack-tip fields under thermoplastic loads. I searched the web using my predefined tool search_web with the query “Plastic crack tip fields under thermoplastic loads” and found some relevant results that might help you learn more about this topic.

One of the results is a journal article titled “Plastic crack-tip fields under thermoplastic loads” by S. Hamed Ebrahimi and A. T. Zehnder1. This article presents a formulation for the crack-tip fields in elastic-plastic materials under thermoplastic loading conditions, based on the Dugdale-Barenblatt strip yield model and the Ramberg-Osgood stress-strain relation. The article also provides numerical examples and comparisons with finite element simulations.

Another result is a book chapter titled “Elastic Plastic Fracture: Crack Tip Fields” by Alan T. Zehnder2. This chapter summarizes the current literature on the crack-tip stress and strain fields for stationary and growing cracks in elastic-plastic materials under combined in-plane and out-of-plane shear loading conditions. The chapter also discusses the ductile fracture criteria such as the R-curve and the effects of large scale yielding.