...Marcio A. A. Cavalcante; Marek-Jerzy Pindera In Part I, a generalized finite-volume theory was constructed for two-dimensional elasticity problems on rectangular domains based on a higher-order displacement field representation within individual subvolumes of a discretized analysis domain...

...Marcio A. A. Cavalcante; Marek-Jerzy Pindera A generalized finite-volume theory is proposed for two-dimensional elasticity problems on rectangular domains. The generalization is based on a higher-order displacement field representation within individual subvolumes of a discretized analysis domain...

... thermal conductivity matrix algebra elasticity functionally graded materials finite-volume theory parametric formulation Functionally graded materials (FGMs) are multiphase materials with engineered microstructures which produce property gradients aimed at optimizing structural response...

...Marcio A. A. Cavalcante; Severino P. C. Marques; Marek-Jerzy Pindera In Part I of this communication, the finite-volume theory for functionally graded materials was further extended to enable efficient analysis of structural components with curved boundaries, as well as efficient modeling...