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Advanced Finite Plasticity Textbooks

Mubeen's picture

While reading the article

"An alternative approach to finite plasticity based on material isomorphisms " (1999) by Prof. Bertram, the first thing that attracted my attention was the quote [by Prof. Naghdi (late)]:

 “there is some degree of disagreements on nearly all of the main constitutive ingredients and features of plasticity in the presence of finite deformation... Some of the issues of disagreements are of basic and fundamental importance.”

When I opened Naghdi's review , he decribes the points upon which mechanics community agree, at pages 322 - 324 (only 3 pages); while the disagreements span almost 24 pages (325-349).

Now rephrasing Bertram's words:

"Today, almost two decade later, and after more than four decades of intensive research and publishing activities in this field (+TeraFLOPS computers), Naghdi's conclusion seems to be still valid.",          and there is no standard model of finite plasticity which is universal (disputes over splitting the deformation gradient into elastic and plastic part, and especially those related to the size effects and gradient theories etc. etc.)."

During any talk/seminar/conference the disagreement among researchers is more prominent than any other aspect of the topic. This problem puzzles the new-comers.  

A single search on Google Scholar can yield over one thousand journal articles and tens of review articles, but the heterogenity of this topic and the disagreements among various schools of thought, have not yet allowed (ex. rare exception) anyone to write a comprehensive treatise especially for finite plasticity.

There exist some advanced mechanics books covering limited theoretical aspects (e.g. Asaro & Lubarda 2006. Gurtin, Anand & Fried 2009. Cailletaud, Chaboche & Forest 2009) and Elastoplasticity (by Lubarda 2002), but after Simo 1997, no widely accepted modern book came out.

Unlike other areas of mechanics, standard finite plasticity (including crystal plasticity) is still out of the reach of graduate students.

More importantly, almost 99% of the plasticity literature published during the last qaurter century hasn't been accepted by the leading CAD/CAM platform developers (even the end-user has to hire someone to write UEL/UMAT sometimes from scratch).

Perhaps disagreement is a right way to keep plasticity business attractive and open for researchers Cool.   

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