Open Access Open Access  Restricted Access Subscription or Fee Access

Displacement Potential Approach for the Solution of 3-D Body of Orthotropic Composite Materials

S K Deb Nath


In this paper, a displacement potential formulation of 3-D orthotropic composite material is derived following the philosophy of theory of elasticity. All stress and displacement components are expressed in terms of a single function, y. In this approach, if the displacement components are substituted in equilibrium equations, among them two equilibrium equations are satisfied, the other one transforms into the governing equation in terms of a single function, y . The stress components are expressed in terms of a single function, y substituting displacement components into stress displacement relationships of 3-D body of orthotropic composite materials. The present displacement potential approach can be used for any mixed boundary value problem when the existing approach is hardly applicable in mixed boundary value problems. Using the present formulations, one can obtain the elastic field of 3-D body of isotropic and anisotropic materials. Application of the present approach using Finite difference technique is shown and it is observed that the computational work reduced by the present approach is nearly 96%.


Displacement potential formulation, 3-D orthotropic composite material

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.