Journal•ISSN: 2157-5428

# Journal of Mechanics of Materials and Structures

Mathematical Sciences Publishers

About: Journal of Mechanics of Materials and Structures is an academic journal. The journal publishes majorly in the area(s): Finite element method & Buckling. It has an ISSN identifier of 2157-5428. Over the lifetime, 862 publications have been published receiving 11062 citations.

Topics: Finite element method, Buckling, Beam (structure), Materials science, Boundary value problem

##### Papers published on a yearly basis

##### Papers

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184 citations

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TL;DR: In this paper, a method to couple the peridynamic theory and finite element analysis to take advantage of both methods is presented, where peridynamics is used in the regions where failure is expected and the remaining regions are modeled utilizing the finite element method.

Abstract: The finite element method is widely utilized for the numerical solution of structural problems. However, damage prediction using the finite element method can be very cumbersome because the derivatives of displacements are undefined at the discontinuities. In contrast, the peridynamic theory uses displacements rather than displacement derivatives in its formulation. Hence, peridynamic equations are valid everywhere, including discontinuities. Furthermore, the peridynamic theory does not require external criteria for crack initiation and propagation since material failure is invoked through the material response. However, the finite element method is numerically more efficient than the peridynamic theory. Hence, this study presents a method to couple the peridynamic theory and finite element analysis to take advantage of both methods. Peridynamics is used in the regions where failure is expected and the remaining regions are modeled utilizing the finite element method. Then, the present approach is demonstrated through a simple problem and predictions of the present approach are compared against both the peridynamic theory and finite element method. The damage simulation results for the present method are demonstrated by considering a plate with a circular cutout.

155 citations

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147 citations

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TL;DR: In this article, a refined zigzag theory is presented for laminated-composite and sandwich plates that includes the kinematics of first-order shear-deformation theory as its baseline.

Abstract: A refined zigzag theory is presented for laminated-composite and sandwich plates that includes the kinematics of first-order shear-deformation theory as its baseline. The theory is variationally consistent and is derived from the virtual work principle. Novel piecewise-linear zigzag functions that provide a more realistic representation of the deformation states of transverse-shear-flexible plates than other similar theories are used. The formulation does not enforce full continuity of the transverse shear stresses across the plate's thickness, yet is robust. Transverse-shear correction factors are not required to yield accurate results. The theory is devoid of the shortcomings inherent in the previous zigzag theories including shear-force inconsistency and difficulties in simulating clamped boundary conditions, which have greatly limited the accuracy of these theories. This new theory requires only C0-continuous kinematic approximations and is perfectly suited for developing computationally efficient finite elements. The theory should be useful for obtaining relatively efficient, accurate estimates of structural response needed to design high-performance load-bearing aerospace structures

145 citations

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TL;DR: In this paper, a peridynamic theory is used to predict how damage propagates in fiber-reinforced composite materials subjected to mechanical and thermal loading conditions. But the model is limited to composite materials.

Abstract: Damage growth in composites involves complex and progressive failure modes. Current computational tools are incapable of predicting failure in composite materials mainly due to their mathematical structure. However, peridynamic theory removes these obstacles by taking into account nonlocal interactions between material points. This study presents an application of peridynamic theory to predict how damage propagates in fiber-reinforced composite materials subjected to mechanical and thermal loading conditions.

133 citations