This book addresses the static and dynamic analysis of linear elastic size-dependent structures
based on the modified couple stress theory. It focuses on establishing the governing equations
of the size-dependent structures deriving the associated finite element models and
implementing those models using the R programming language. The implemented functions are
employed to develop a special R package (equivalent to a MATLAB toolbox) called microfiniteR
for this book. In each chapter the governing equations are formulated using the variational
method and the behaviour of the structures is examined on the basis of their load-deformation
characteristics (in the case of static analyses) and by evaluating their eigenvalues (in the
case of dynamics and buckling problems). The first chapter introduces readers to the R
programming language beginning with the resources needed to make use of the language and
ending with a list of recommended texts. The remaining chapters cover the requisite linear
elastic theory and highlight the implemented R functions. Each chapter concludes with a brief
summary and relevant references.
