Nonlinear Analyses of Laminated Plates and Shells with Damage

In recent years, damage problems on fiber-reinforced composite laminated structures have attracted considerable interest and attention of researchers in both academic and engineering fields. This book summarizes research results in the areas of nonlinear problems of laminated plates and shells, conducted by the author and his graduate students over the past decades. The main content comes from research papers published in leading international and national academic journals. The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science. While this book tries to present recent development and brings forth new ideas in the academic area, it also gives emphasis on the basic concepts, fundamental principles and establishment of basic approaches.Moreover, this book provides a complete set of theoretical system and analytic methods for the nonlinear research of laminated structures and piezoelectric laminated structures with damage.

Table of Contents:
Contents Chapter 1 Fundamentals of nonlinear elastic mechanics for laminated plates and shells Nonlinear geometric relations of laminated moderately thick plates; Elastic constitutive relations of laminated moderately thick plates; Nonlinear differential equations of motion of elastic laminated moderately thick plates; Nonlinear geometric relations of laminated moderately thick shells; Elastic constitutive relations of laminated moderately thick shells; Nonlinear differential equations of motion of elastic laminated moderately thick shells Chapter 2 Fundamentals of viscoelastic mechanics for laminated plates and shells Viscoelastic mechanical behaviors; Linear viscoelastic mechanical models; One-dimensional linear viscoelastic constitutive relations; Three-dimensional isotropic linear viscoelastic constitutive relations; Linear viscoelastic constitutive relations of fiber-reinforced composite; Linear viscoelastic constitutive relations of laminated moderately thick plates and shells; Dynamic behaviors of viscoelastic materials Chapter 3 Fundamentals of damage mechanics for laminated plates and shells Concepts of damage mechanics; Basic principles of damage mechanics; Anisotropic damage model; Damage model of fiber-reinforced composite materials Chapter 4 Nonlinear analysis of elastic and elasto-plastic laminated plates and shells with damage Post-buckling of elastic composite rectangular thin plates with damage; Post-buckling of elastic laminated rectangular thin plates with damage; Nonlinear dynamic response of elastic laminated rectangular thin plates with damage; Nonlinear dynamic response of elastic laminated moderately thick shallow spherical shells with damage under low velocity impact; Post-buckling of elasto-plastic laminated rectangular thin plates with damage; Nonlinear dynamic response of elasto-plastic laminated rectangular thin plates with damage Chapter 5 Nonlinear analysis of viscoelastic laminated plates and shells with damage Creep buckling of viscoelastic laminated moderately thick rectangular plates; Creep buckling of viscoelastic laminated moderately thick cylindrical shells; Dynamic stability of viscoelastic laminated rectangular thin plates; Dynamic stability of viscoelastic laminated cylindrical thin shells; Nonlinear creep buckling of viscoelastic laminated moderately thick cylindrical panels with damage; Nonlinear creep buckling of viscoelastic laminated cylindrical thin shells with damage; Creep post-buckling of viscoelastic laminated moderately thick cylindrical panels with damage; Nonlinear vibration of viscoelastic laminated moderately thick rectangular plates with damage; Nonlinear dynamic response of viscoelastic laminated rectangular thin plates with damage; Dynamic bifurcation and chaos of viscoelastic laminated moderately thick rectangular plates with damage 332 Chapter 6 Nonlinear analysis of elastic piezoelectric plates and piezoelectric laminated plates and shells with damage Post-buckling of elastic piezoelectric rectangular thin plates with Damage; Nonlinear dynamic response of elastic piezoelastic rectangular thin plates with damage; Nonlinear fatigue failure of elastic piezoelastic rectangular thin plates with damage; Dynamic bifurcation and chaos of the elastic piezoelectric rectangular thin plates with damage; Nonlinear dynamic response of elastic piezoelastic laminated rectangular thin plates with damage; Nonlinear dynamic stability of elastic piezoelectric laminated moderately thick rectangular plates with damage; Nonlinear vibration and active control of elastic Piezoelectric Laminated moderately thick rectangular plates with damage; Nonlinear dynamic response of elastic piezoelastic laminated moderatelythick shallow spherical shells with damage under low velocity impact Chapter 7 Nonlinear analysis of elastic laminated and piezoelectric laminated plates and shells with delamination Post-buckling of elastic laminated moderately thick circular plates with delamination; Nonlinear vibration of elastic laminated moderately thick circular plates with delamination; Post-buckling of elastic laminated cylindrical thin shells with delamination; Nonlinear vibration of elastic laminated cylindrical thin shells with delamination; Nonlinear dynamic response of elastic laminated cylindrical thin shells with delamination; Delamination growth of elastic laminated cylindrical thin shells with delamination under axial compressive load; Delamination growth of elastic laminated cylindrical thin shell with delamination under radial load; Fatigue delamination growth of elastic piezoelectric laminated cylindrical thin shell with delamination Chapter 8 Nonlinear analysis of elastic laminated and piezoelectric laminated plates and shells with interfacial damage Nonlinear mechanical model of elastic laminated rectangular flat shells with interfacial damage; Interlaminar stresses of elastic laminated beams with interfacial Damage; Interlaminar stresses of elastic laminated rectangular plates with interfacial damage; Interlaminar stresses of elastic laminated flat shells with interfacial damage; Nonlinear dynamic response of elastic laminated rectangular plates with interfacial damage; Nonlinear mechanical model of elastic piezoelectric laminated rectangular plates with interfacial damage; Interlaminar stress and electric potential distribution of elastic piezoelectric rectangular plates with interfacial damage; Nonlinear dynamic response of piezoelectric laminated rectangular plates with interfacial damage; Nonlinear vibration of piezoelectric laminated rectangular plates with interfacial damage; Nonlinear vibration active control of piezoelectric laminated rectangular plates with interfacial damage