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Learning Continuum Mechanics
I would like to make a career in Finite Element MEthod with concentration on topics like XFEM,Mesh-free methods--
However, I am yet to mmake a start.To give you my background I ahve a good knowledge of subject of Strength of Materials,Linear Finite Element Analyis-including coding structrial analysis involving beam elements,plate elements,plane stress and plane strain elements-all linear FE.
I have good programming skills-C,VB,MathCAD and know basis of C++ well
I havee just undergone a course on Linear Algebra through the MIT opencourseware.
I have not yet studies the subject of continuum mechanics.
Though, I did undergo a course on Theory of Elasticity in my MAstyers degree, not very confident of the same.
My questions are:
1.What should be my next action-in view of studying a detailed course (Self study of course) before I proceed to pursue my higher research studies?
2.What are the books you refer for my question in 1. above?
3.I want to pursue my research in area of XFEM (i understand what it isand find interesting-but not familaiar with the Math involving it and in depth study-just have an introductory knowledge of XFEM)
4. Based on 3. above and my very brief view of my knowledge status, can you suggest some books I should be reading to get a confidence on my subjects?