Research Article
Sep 1972
Finite Element Approach to Plane Microelasticity
Publication: Journal of the Structural Division
Volume 98, Issue 9
Abstract
The object of the investigation reported herein was to explore the applicability of the finite element technique to the stress and deformation analysis of multidimensional bodies of microelastic materials. For simplicity, the presentation has been restricted to micropolar materials. No particular difficulty is, however, envisioned if the more general case of a micromorphic material is considered. The strain-energy density and the constitutive equations were calculated for both plane strain and plane stress. Subsequently, the stiffness matrix was developed for a simple triangular finite element. Results presented are applicable to a large class of practical problems, some of which will be covered in a subsequent paper. From this investigation, it is clear that the same process may be extended to elements of other shapes, higher-order elements for plane problems, flexural elements and elements of three-dimensional bodies.
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Information
Published In
Journal of the Structural Division
Volume 98 • Issue 9 • September 1972
Pages: 1957 - 1964
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Sep 1972
Published online: Feb 1, 2021
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Authors
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Mohammed H. Baluch
Asst. Prof., Dept. of Civ. Engrg., Tennessee State Univ., Nashville, Tenn.
John E. Goldberg, F.ASCE
Prof., School of Civ. Engrg., Purdue Univ., Lafayette, Ind.
Severino L. Koh
Prof., School of Aeronautics, Astronautics and Engrg. Sciences, Purdue Univ., Lafayette, Ind.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.