Main Article Content
A MICROSTRUCTURE-DEPENDENT NONLINEAR THIRD-ORDER BEAM THEORY WHICH ACCOUNTS FOR THROUGH-THICKNESS POWER-LAW VARIATION OF A TWO-CONSTITUENT MATERIAL IS DEVELOPED USING HAMILTON'S PRINCIPLE. THE FORMULATION IS BASED ON A MODIFIED COUPLE STRESS THEORY, POWER-LAW VARIATION OF THE MATERIAL, AND THE VON KARMAN NONLINEAR STRAINS. THEMODIFIED COUPLE STRESS THEORY CONTAINS A MATERIAL LENGTH SCALE PARAMETER THAT CAN CAPTURE THE SIZE EFFECT IN A FUNCTIONALLY GRADED MATERIAL BEAM. THEINFLUENCE OF THE MATERIAL LENGTH SCALE PARAMETER ON LINEAR BENDING IS INVESTIGATED. THE FINITE ELEMENT MODELS ARE ALSO DEVELOPED TO DETERMINE THE EFFECT OF THE GEOMETRIC NONLINEARITY AND MICROSTRUCTURE-DEPENDENT CONSTITUTIVE RELATIONS ON LINEAR AND NONLINEAR RESPONSE.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).