Nonlinear finite element analysis of solids and structures by M.A. Crisfield
About: This article is published in European Journal of Mechanics A-solids.The article was published on 1998-01-01. It has received 254 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.
Citations
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TL;DR: A review of carbon nanotube reinforced composite (CNTRC) materials can be found in this article, where the concept of functionally graded (FG) pattern of reinforcement has been applied for functionally graded carbon nanite reinforced composite materials.
541 citations
Cites methods from "Nonlinear finite element analysis o..."
...The arc-length method combined with the modified Newton–Raphson method is used to trace the post-buckling path [116]....
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TL;DR: The presented work contains particular approaches using the FEA for the simulation of transient physical effects within the additive layer manufacturing (ALM) process that focus on coupled thermo-mechanical models incorporating specific boundary conditions and temperature dependant material properties to identify the heat impact on residual stresses and deformations.
Abstract: For establishing Selective Laser Melting (SLM) in production technology, an extensive knowledge about the transient physical effects during the manufacturing process is mandatory. In this regard, a high process stability for various alloys, e.g. tool steel 1.2709 (X3NiCoMoTi 18-9-5), is realisable, if approaches for the virtual qualification of adequate process parameters by means of a numerical simulation based on the finite element analysis (FEA) are developed. Furthermore, specific methods to evaluate and quantify the resulting residual stresses and deformations due to the temperature gradient mechanism (TGM) are required. Hence, the presented work contains particular approaches using the FEA for the simulation of transient physical effects within the additive layer manufacturing (ALM) process. The investigations focus on coupled thermo-mechanical models incorporating specific boundary conditions and temperature dependant material properties to identify the heat impact on residual stresses and deformations. In order to evaluate the structural effects and simultaneously validate the simulation, analysis on residual stresses based on the neutron diffractometry as well as considerations concerning part deformations are presented.
517 citations
Cites methods from "Nonlinear finite element analysis o..."
...In this context, numerical solutions by means of the FEA comprise adequate algorithms [21, 22]....
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TL;DR: A unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis is presented in this paper, which permits the derivation of a set of CR variants through selective simplifications.
389 citations
TL;DR: In this article, the authors investigated the dynamic deployment of a tape spring that is either coiled around a circular hub, or folded into a zig-zag pattern, and they showed that in both cases the spring deforms by forming an elastically deformed region with zero transverse curvature and uniform longitudinal curvature.
Abstract: Tape springs are straight, thin–walled strips with a curved cross–section. Following recent proposals for large deployable structures exploiting the structural simplicity and robustness of such springs as deployment actuators, the paper investigates the dynamic deployment of a tape spring that is either coiled around a circular hub, or folded into a zig–zag pattern. It is shown that in both cases the spring deforms by forming an elastically deformed region with zero transverse curvature and uniform longitudinal curvature. The process of formation and growth of a fold belongs to a wide class of propagating instabilities. It is characterized by a high peak moment and a lower propagation moment. A compact characterization of the moment–rotation relationship for an elastic fold is presented. A key feature is that the bending moment on either side of a fold moving along a uniform tape spring, away from any end supports, is constant, whereas this moment increases near a support. Compact and accurate two–dimensional theories are developed to simulate the self–actuated deployment of tape springs. It is shown that conservative energy formulations are appropriate for coiled springs, where the velocity field is smooth, but not for springs with localized folds. To simulate the motion of such localized folds a non–conservative impulse–momentum formulation is proposed, and it is found that this model can accurately predict both the steady motion of the folds along the tape spring and their rebound against the end supports.
283 citations
Cites methods from "Nonlinear finite element analysis o..."
...The only procedure that can capture the type of behaviour seen in the experiments is the arc-length method pioneered by Riks (1972) and extensively discussed in chapter 9 of Crisfield (1991). This method can compute a series of points forming a continuous equilibrium path in generalized load–displacement space by controlling the distance, or arc-length, between successive points....
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...The only procedure that can capture the type of behaviour seen in the experiments is the arc-length method pioneered by Riks (1972) and extensively discussed in chapter 9 of Crisfield (1991)....
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TL;DR: In this paper, a postbuckling analysis of carbon nanotube-reinforced functionally graded (CNTR-FG) cylindrical panels under axial compression is presented.
225 citations
Cites methods from "Nonlinear finite element analysis o..."
...Here the increment of the load level parameter Dknm is obtained by using an iterative arc-length strategy as proposed by Crisfield [39]....
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...Here the increment of the load level parameter Dkm is obtained by using an iterative arc-length strategy as proposed by Crisfield [39]....
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References
More filters
TL;DR: A review of carbon nanotube reinforced composite (CNTRC) materials can be found in this article, where the concept of functionally graded (FG) pattern of reinforcement has been applied for functionally graded carbon nanite reinforced composite materials.
541 citations
TL;DR: The presented work contains particular approaches using the FEA for the simulation of transient physical effects within the additive layer manufacturing (ALM) process that focus on coupled thermo-mechanical models incorporating specific boundary conditions and temperature dependant material properties to identify the heat impact on residual stresses and deformations.
Abstract: For establishing Selective Laser Melting (SLM) in production technology, an extensive knowledge about the transient physical effects during the manufacturing process is mandatory. In this regard, a high process stability for various alloys, e.g. tool steel 1.2709 (X3NiCoMoTi 18-9-5), is realisable, if approaches for the virtual qualification of adequate process parameters by means of a numerical simulation based on the finite element analysis (FEA) are developed. Furthermore, specific methods to evaluate and quantify the resulting residual stresses and deformations due to the temperature gradient mechanism (TGM) are required. Hence, the presented work contains particular approaches using the FEA for the simulation of transient physical effects within the additive layer manufacturing (ALM) process. The investigations focus on coupled thermo-mechanical models incorporating specific boundary conditions and temperature dependant material properties to identify the heat impact on residual stresses and deformations. In order to evaluate the structural effects and simultaneously validate the simulation, analysis on residual stresses based on the neutron diffractometry as well as considerations concerning part deformations are presented.
517 citations
TL;DR: A unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis is presented in this paper, which permits the derivation of a set of CR variants through selective simplifications.
389 citations
TL;DR: In this article, the authors investigated the dynamic deployment of a tape spring that is either coiled around a circular hub, or folded into a zig-zag pattern, and they showed that in both cases the spring deforms by forming an elastically deformed region with zero transverse curvature and uniform longitudinal curvature.
Abstract: Tape springs are straight, thin–walled strips with a curved cross–section. Following recent proposals for large deployable structures exploiting the structural simplicity and robustness of such springs as deployment actuators, the paper investigates the dynamic deployment of a tape spring that is either coiled around a circular hub, or folded into a zig–zag pattern. It is shown that in both cases the spring deforms by forming an elastically deformed region with zero transverse curvature and uniform longitudinal curvature. The process of formation and growth of a fold belongs to a wide class of propagating instabilities. It is characterized by a high peak moment and a lower propagation moment. A compact characterization of the moment–rotation relationship for an elastic fold is presented. A key feature is that the bending moment on either side of a fold moving along a uniform tape spring, away from any end supports, is constant, whereas this moment increases near a support. Compact and accurate two–dimensional theories are developed to simulate the self–actuated deployment of tape springs. It is shown that conservative energy formulations are appropriate for coiled springs, where the velocity field is smooth, but not for springs with localized folds. To simulate the motion of such localized folds a non–conservative impulse–momentum formulation is proposed, and it is found that this model can accurately predict both the steady motion of the folds along the tape spring and their rebound against the end supports.
283 citations
TL;DR: In this paper, a postbuckling analysis of carbon nanotube-reinforced functionally graded (CNTR-FG) cylindrical panels under axial compression is presented.
225 citations