based on the notion of micro-structure in linear elasticity presented by mindlin, a newextended continuum mechanics (ecm) formulation is derived which can be utilized to model thematerial behavior at atomic scale. an attempt has been made to present a formulation capable ofproducing the molecular dynamics (md) simulation results with less computational effort. to thisend, some new kinematical v...

1. Basic Results in Continuum Mechanics 1.1. Kinematics 1.2. Stress Tensors and Balance of Momenta 1.3. Energy Balance Principle and Entropy Inequality 1.4. Fundamental Principles of Constitutive Models 2. Elastic and Hyperelastic Materials 2.1. Isotropic Hyperelastic Materials 2.2. Constitutive Models for Fiber-Reinforced Hyperelastic Materials 2.3. Examples of Numerical Applications 3. Elasto...