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Definition of Representative Volume Element

Dear Imechanica Members,


I am looking for a reference where the concept and definition of Representative Volume Element as the fundamental consitutent of Continuum Mechanics was originally introduced.

 Thanks in advanced for yoyr help.





PhD Computational Mechanics


Applied Mechanics Group

EAFIT University


srangan3's picture

Please check the following reference:

Hill, R., 1963. Elastic properties of reinforced solids: some theoretical principles. J. Mech. Phys. Solids 11 (5), 357–372.

dear Imechanica members

i am looking for a help how can i constitute representative volume element to study fracture in hetrogeneous alloys.



Ashwani Verma

Ph D scholar

Sant longowal Institute of Engineering & Technology, Longowal (INDIA) 

there are many works is related to your question.

I think you should read the book about micro-mechanics

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