Transient analysis of laminated composite and sandwich plates with embedded delaminations using GLPT
Abstract
Delamination is the most common damage type of laminar composites. It is of the great importance that perfect bonding between faces and the soft-core of sandwich plate remain intact under different types of dynamic loading. This paper explains the transient response of laminated composite and sandwich plates with embedded delaminations. For this purpose, numerical model is derived using Reddy's Generalized Laminated Plate Theory. This theory assumes layerwise linear variation of in-plane displacement components, while transverse displacement is constant through the thickness. Cross sectional warping is accounted. Jump discontinuities in displacement field, which represent the delamination openings in three orthogonal directions, are implemented using Heaviside step functions. Linear kinematic relations and Hooke's constitutive law are considered. Equations of motion are derived using Hamilton's principle. Numerical solution based on the proposed theory is obtained using the enriched fi...nite elements with four or nine nodes. Governing partial differential equations are reduced to a set of ordinary differential equations in time using Newmark integration schemes. The equations of motion are solved using constant-average acceleration method using the originally coded MATLAB program. Effects of delamination size and position through the plate thickness on transient response are commented. Also, illustrative comments are given about the influence of shear deformation on transient response. Different forcing functions are investigated. After verification of the proposed model for the intact plates, the variety of new results for delaminated plates is presented as a benchmark for future investigations.
Keywords:
Composite plate / Sandwich plate / Delamination / Transient Analysis / GLPTSource:
Proceedings of the International Conference on Structural Dynamic , EURODYN, 2014, 3373-3380Publisher:
- European Association for Structural Dynamics
Funding / projects:
- Research on condition assessment and improvement methods of civil engineering structures in view of their serviceability, load-bearing capacity, cost effectiveness and maintenance (RS-MESTD-Technological Development (TD or TR)-36048)
ISBN: 978-972-752-165-4
ISSN: 2311-9020
WoS: 000354786604055
Scopus: 2-s2.0-84973884570
Collections
Institution/Community
GraFarTY - CONF AU - Marjanović, Miroslav AU - Vuksanović, Đorđe PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/643 AB - Delamination is the most common damage type of laminar composites. It is of the great importance that perfect bonding between faces and the soft-core of sandwich plate remain intact under different types of dynamic loading. This paper explains the transient response of laminated composite and sandwich plates with embedded delaminations. For this purpose, numerical model is derived using Reddy's Generalized Laminated Plate Theory. This theory assumes layerwise linear variation of in-plane displacement components, while transverse displacement is constant through the thickness. Cross sectional warping is accounted. Jump discontinuities in displacement field, which represent the delamination openings in three orthogonal directions, are implemented using Heaviside step functions. Linear kinematic relations and Hooke's constitutive law are considered. Equations of motion are derived using Hamilton's principle. Numerical solution based on the proposed theory is obtained using the enriched finite elements with four or nine nodes. Governing partial differential equations are reduced to a set of ordinary differential equations in time using Newmark integration schemes. The equations of motion are solved using constant-average acceleration method using the originally coded MATLAB program. Effects of delamination size and position through the plate thickness on transient response are commented. Also, illustrative comments are given about the influence of shear deformation on transient response. Different forcing functions are investigated. After verification of the proposed model for the intact plates, the variety of new results for delaminated plates is presented as a benchmark for future investigations. PB - European Association for Structural Dynamics C3 - Proceedings of the International Conference on Structural Dynamic , EURODYN T1 - Transient analysis of laminated composite and sandwich plates with embedded delaminations using GLPT EP - 3380 SP - 3373 UR - https://hdl.handle.net/21.15107/rcub_grafar_643 ER -
@conference{ author = "Marjanović, Miroslav and Vuksanović, Đorđe", year = "2014", abstract = "Delamination is the most common damage type of laminar composites. It is of the great importance that perfect bonding between faces and the soft-core of sandwich plate remain intact under different types of dynamic loading. This paper explains the transient response of laminated composite and sandwich plates with embedded delaminations. For this purpose, numerical model is derived using Reddy's Generalized Laminated Plate Theory. This theory assumes layerwise linear variation of in-plane displacement components, while transverse displacement is constant through the thickness. Cross sectional warping is accounted. Jump discontinuities in displacement field, which represent the delamination openings in three orthogonal directions, are implemented using Heaviside step functions. Linear kinematic relations and Hooke's constitutive law are considered. Equations of motion are derived using Hamilton's principle. Numerical solution based on the proposed theory is obtained using the enriched finite elements with four or nine nodes. Governing partial differential equations are reduced to a set of ordinary differential equations in time using Newmark integration schemes. The equations of motion are solved using constant-average acceleration method using the originally coded MATLAB program. Effects of delamination size and position through the plate thickness on transient response are commented. Also, illustrative comments are given about the influence of shear deformation on transient response. Different forcing functions are investigated. After verification of the proposed model for the intact plates, the variety of new results for delaminated plates is presented as a benchmark for future investigations.", publisher = "European Association for Structural Dynamics", journal = "Proceedings of the International Conference on Structural Dynamic , EURODYN", title = "Transient analysis of laminated composite and sandwich plates with embedded delaminations using GLPT", pages = "3380-3373", url = "https://hdl.handle.net/21.15107/rcub_grafar_643" }
Marjanović, M.,& Vuksanović, Đ.. (2014). Transient analysis of laminated composite and sandwich plates with embedded delaminations using GLPT. in Proceedings of the International Conference on Structural Dynamic , EURODYN European Association for Structural Dynamics., 3373-3380. https://hdl.handle.net/21.15107/rcub_grafar_643
Marjanović M, Vuksanović Đ. Transient analysis of laminated composite and sandwich plates with embedded delaminations using GLPT. in Proceedings of the International Conference on Structural Dynamic , EURODYN. 2014;:3373-3380. https://hdl.handle.net/21.15107/rcub_grafar_643 .
Marjanović, Miroslav, Vuksanović, Đorđe, "Transient analysis of laminated composite and sandwich plates with embedded delaminations using GLPT" in Proceedings of the International Conference on Structural Dynamic , EURODYN (2014):3373-3380, https://hdl.handle.net/21.15107/rcub_grafar_643 .