Esmaeal Ghavanloo - Size-Dependent Continuum Mechanics Approaches: Theory and Applications

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The present book Size-Dependent Continuum Mechanics Approaches: Theory and Application is a collection of papers edited by Esmaeal Ghavanloo, S. Ahmad Fazelzadeh and Francesco Marotti de Sciarra. It covers a lot of interesting information about continuum mechanics approaches taking into account size-dependent effects. Approaches present in the book are mostly based on nonlocal theories, but also on micromorphic, peridynamic and gradient theories. Instead of the classical continuum mechanics with taking into account the material point and its infinitesimal surrounding, the alternative theories include also far-distance (beyond the infinitesimal surrounding) information. The majority of presentations in this book are related to contributions in this field of Ahmed Cemal Eringen (see, for example, W.H. Mller, Eringen, Ahmed Cemal, In H. Altenbach, A. chsner (eds), Encyclopedia of Continuum Mechanics, Springer, 2020, 860862).

It should be noted that the non-classical continuum mechanics approaches are much more complicated in comparison with the classical ones. Many examples are presented in the book for beams and one can follow the discussion in a simple manner having only basic knowledge on the Euler-Bernoulli beam theory. In addition, several applications are given and one can see that non-classical approaches are helpful if the structural size is very small. In this case, size effects are obvious and classical theories failed. The advanced theories allow the solution of new problems, but they have also disadvantages: the number of constitutive parameters increases. The estimation of the constitutive parameters is not trivial and several suggestions are discussed in the literature.