Presentation on theme: "INTRODUCTION TO MECHANICS FOR SOLIDS AND STRUCTURES"— Presentation transcript:
1 INTRODUCTION TO MECHANICS FOR SOLIDS AND STRUCTURES Finite Element Methodfor readers of all backgroundsG. R. Liu and S. S. QuekCHAPTER 2:INTRODUCTION TO MECHANICSFOR SOLIDS AND STRUCTURES
2 CONTENTS INTRODUCTION EQUATIONS FOR THREE-DIMENSIONAL (3D) SOLIDS Statics and dynamicsElasticity and plasticityIsotropy and anisotropyBoundary conditionsDifferent structural componentsEQUATIONS FOR THREE-DIMENSIONAL (3D) SOLIDSEQUATIONS FOR TWO-DIMENSIONAL (2D) SOLIDSEQUATIONS FOR TRUSS MEMBERSEQUATIONS FOR BEAMSEQUATIONS FOR PLATES
3 INTRODUCTIONSolids and structures are stressed when they are subjected to loads or forces.The stresses are, in general, not uniform as the forces usually vary with coordinates.The stresses lead to strains, which can be observed as a deformation or displacement.Solid mechanics and structural mechanics
4 Statics and dynamics Forces can be static and/or dynamic. Statics deals with the mechanics of solids and structures subject to static loads.Dynamics deals with the mechanics of solids and structures subject to dynamic loads.As statics is a special case of dynamics, the equations for statics can be derived by simply dropping out the dynamic terms in the dynamic equations.
5 Elasticity and plasticity Elastic: the deformation in the solids disappears fully if it is unloaded.Plastic: the deformation in the solids cannot be fully recovered when it is unloaded.Elasticity deals with solids and structures of elastic materials.Plasticity deals with solids and structures of plastic materials.
6 Isotropy and anisotropy Anisotropic: the material property varies with direction.Composite materials: anisotropic, many material constants.Isotropic material: property is not direction dependent, two independent material constants.