Continuum Mechanics

‌Progressive Damage Analysis of Laminated Composites using Continuum Damage Mechanics

In this paper, progressive damage and global failure of composite laminates under quasi-static, monotonic loading are investigated using 3D continuum damage mechanics. For this purpose, a finite element program has been developed using an eight-node 2D layered element including layer-wise plate theory. Damage analysis of a single orthotropic layer under various uniform in-plane and transverse l...

Introduction to Continuum Mechanics

Continuum Thermo-Mechanics Fundamentals

We assume that at the continuum scales of interest here, the mass density ⇢ as well as the the momentum per unit volume ⇢u can be interpreted as well-defined averages of microscopic masses and momenta. That is, they are averages over minute spatial regions and time intervals, which can nevertheless be chosen large enough that there are negligible statistical fluctuations about those averages at...

Nonrelativistic and Relativistic Continuum Mechanics

There is described a spacetime formulation of both nonrelativistic and relativistic elasticity. Specific attention is devoted to the causal structure of the theories and the availability of local existence theorems for the initial-value problem. Much of the presented material is based on joint work of B.G.Schmidt and the author (in Class.Quantum Grav.20 (2003), 889-904).

Transversality Condition in Continuum Mechanics