Thermomechanical Behavior of Dissipative Composite Materials presents theoretical and numerical tools for studying materials and structures under fully coupled thermomechanical conditions, focusing primarily on composites. The authors cover many aspects of the modeling process and provide the reader with the knowledge required to identify the conservation laws and thermodynamic principles that must be respected by most solid materials. The book also covers construct constitutive laws for various types of dissipative processes, both rate-independent and rate-dependent, by utilizing a rigorous thermodynamic framework. Topics explored are useful for graduate students and advanced researchers who wish to strengthen their knowledge of the application of thermodynamic principles. Identifies the conservation laws and thermodynamic principles that need to be respected by any solid material Presents construct, proper constitutive laws for various types of dissipative processes, both rate-independent and rate-dependent, by utilizing an appropriate thermodynamic framework Includes robust numerical algorithms that permit accuracy and efficiency in the calculations of very complicated constitutive laws Uses rigorous homogenization theories for materials and structures with both periodic and random microstructure

Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modeling techniques and provides detailed guidance for putting them into practice. Various homogenization methods are presented in a simple, didactic manner, with an array of numerical examples. The book starts by covering the theoretical underpinnings of tensors and continuum mechanics concepts, then passes to actual micromechanic techniques for composite media and laminate plates. In the last chapters the book covers advanced topics in homogenization, including Green’s tensor, Hashin-Shtrikman bounds, and special types of problems. All chapters feature comprehensive analytical and numerical examples (Python and ABAQUS scripts) to better illustrate the theory. Bridges theory and practice, providing step-by-step instructions for implementing multiscale modeling approaches for composites and the theoretical concepts behind them Covers boundary conditions, data-exchange between scales, the Hill-Mandel principle, average stress and strain theorems, and more Discusses how to obtain composite properties using different boundary conditions Includes access to a companion site, featuring the numerical examples, Python and ABACUS codes discussed in the book

The mechanical behavior of many applied materials arises from their microstructure. Thus, to aid the design, development and industrialization of new materials, robust computational homogenization methods are indispensable. The present thesis is devoted to investigating and developing FFT-based micromechanics solvers for efficiently computing the (thermo)mechanical response of nonlinear composite materials with complex microstructures.

Studies have been initiated on the strength characterization of fiber reinforced composite materials. An analytical and experimental program has been developed to examine two aspects of composite mechanical behavior: strength criteria under combined loading; and generalized stress-strain relations for inelastic response. In both cases, time (or rate) and temperature dependence of the behavior is included. included. (P.S.-PL).

All real materials in one way or another, exhibit a departure from ideal elastic behaviour, even at very small strain values. Under cyclic deformation, these departtures result in irreversible energy losses in material. The causes of such losses are many, and include the irreversible transfer of mechanical energy into heat, growth of cracks and other defects, and the microplastic deformaton of crystals to name a few. Several terms have been suggested to define these phenomena including damping, energy dissipation, imperfect elasticity and internal friction. This book is about materials damping; with damping or energy dissipation processes in vibrating solids.

The report contains a summary of the research supported by the grant. The main objective of the work was to develop two-dimensional continuum theories of microstructure for the stress analysis of laminated composites under in-plane loading. Particular emphasis was placed on edge-effects. (Author).