This book bridges the gap between theoretical concepts and their implementations, especially for the high-performance structures/components related to advanced composite materials. This work focuses on the prediction of various structural responses such as deformations, natural frequencies etc. of advanced composites under complex environments and/or loading conditions. In addition, it discusses micro-mechanical material modeling of various advanced composite materials that involve different structures ranging from basic to advanced, such as beams, flat and curved panels, shells, skewed, corrugated, and other materials, as well as various solution techniques via analytical, semi-analytical, and numerical approaches. This book: Covers micro-mechanical material modeling of advanced composite materials Describes constitutive models of different composite materials and kinematic models of different structural configuration Discusses pertinent analytical, semi-analytical, and numerical techniques Focusses on structural responses relating to deformations, natural frequencies, and critical loads under complex environments Presents actual demonstrations of theoretical concepts as applied to real examples using Ansys APDL scripts This book is aimed at researchers, professionals, and graduate students in mechanical engineering, material science, material engineering, structural engineering, aerospace engineering, and composite materials.