The Experts below are selected from a list of 309 Experts worldwide ranked by ideXlab platform
Tomofumi Ishikawa - One of the best experts on this subject based on the ideXlab platform.
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implicit integration and consistent Tangent Modulus of a time dependent non unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit integration and consistent Tangent Modulus of a time‐dependent non‐unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit Integration and Consistent Tangent Modulus of a Time-Dependent Non-Unified Constitutive Model.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Tomofumi Ishikawa, Takashi Kawakami, Nobutada OhnoAbstract:This paper is concerned with the implicit integration and consistent Tangent Modulus of a high-temperature constitutive model, in which time-dependent inelastic strain rate consists of the transient part affected by kinematic and isotropic hardenings and the steady part depending on stress and temperature. Such a model is useful for high-temperature structure analysis and is practical because of the ease in determining material constants. The implicit integration is shown to result in two scalar-valued equations, and the consistent Tangent Modulus is derived in a general form by introducing a set of fourth-rank constitutive parameters into discretized kinematic hardening. The constitutive model is, then, implemented in a finite element program and applied to lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus affords parabolic convergence to the Newton-Raphson iteration for solving nodal force equilibrium equations.
Mineo Kobayashi - One of the best experts on this subject based on the ideXlab platform.
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implicit integration and consistent Tangent Modulus of a time dependent non unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit integration and consistent Tangent Modulus of a time‐dependent non‐unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit Integration and Consistent Tangent Modulus of a Time-Dependent Non-Unified Constitutive Model.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Tomofumi Ishikawa, Takashi Kawakami, Nobutada OhnoAbstract:This paper is concerned with the implicit integration and consistent Tangent Modulus of a high-temperature constitutive model, in which time-dependent inelastic strain rate consists of the transient part affected by kinematic and isotropic hardenings and the steady part depending on stress and temperature. Such a model is useful for high-temperature structure analysis and is practical because of the ease in determining material constants. The implicit integration is shown to result in two scalar-valued equations, and the consistent Tangent Modulus is derived in a general form by introducing a set of fourth-rank constitutive parameters into discretized kinematic hardening. The constitutive model is, then, implemented in a finite element program and applied to lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus affords parabolic convergence to the Newton-Raphson iteration for solving nodal force equilibrium equations.
Nobutada Ohno - One of the best experts on this subject based on the ideXlab platform.
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implicit integration and consistent Tangent Modulus of a time dependent non unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit integration and consistent Tangent Modulus of a time‐dependent non‐unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit Integration and Consistent Tangent Modulus of a Time-Dependent Non-Unified Constitutive Model.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Tomofumi Ishikawa, Takashi Kawakami, Nobutada OhnoAbstract:This paper is concerned with the implicit integration and consistent Tangent Modulus of a high-temperature constitutive model, in which time-dependent inelastic strain rate consists of the transient part affected by kinematic and isotropic hardenings and the steady part depending on stress and temperature. Such a model is useful for high-temperature structure analysis and is practical because of the ease in determining material constants. The implicit integration is shown to result in two scalar-valued equations, and the consistent Tangent Modulus is derived in a general form by introducing a set of fourth-rank constitutive parameters into discretized kinematic hardening. The constitutive model is, then, implemented in a finite element program and applied to lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus affords parabolic convergence to the Newton-Raphson iteration for solving nodal force equilibrium equations.
Hiroyuki Takahashi - One of the best experts on this subject based on the ideXlab platform.
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implicit integration and consistent Tangent Modulus of a time dependent non unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit integration and consistent Tangent Modulus of a time‐dependent non‐unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit Integration and Consistent Tangent Modulus of a Time-Dependent Non-Unified Constitutive Model.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Tomofumi Ishikawa, Takashi Kawakami, Nobutada OhnoAbstract:This paper is concerned with the implicit integration and consistent Tangent Modulus of a high-temperature constitutive model, in which time-dependent inelastic strain rate consists of the transient part affected by kinematic and isotropic hardenings and the steady part depending on stress and temperature. Such a model is useful for high-temperature structure analysis and is practical because of the ease in determining material constants. The implicit integration is shown to result in two scalar-valued equations, and the consistent Tangent Modulus is derived in a general form by introducing a set of fourth-rank constitutive parameters into discretized kinematic hardening. The constitutive model is, then, implemented in a finite element program and applied to lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus affords parabolic convergence to the Newton-Raphson iteration for solving nodal force equilibrium equations.
Minoru Mukai - One of the best experts on this subject based on the ideXlab platform.
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implicit integration and consistent Tangent Modulus of a time dependent non unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit integration and consistent Tangent Modulus of a time‐dependent non‐unified constitutive model
International Journal for Numerical Methods in Engineering, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Takashi Kawakami, Nobutada Ohno, Tomofumi IshikawaAbstract:This paper describes the implicit integration and consistent Tangent Modulus of an inelastic constitutive model with transient and steady strain rates, both of which are time- and temperature-dependent; the transient rate is influenced by the evolution of back stress decomposed into parts, while the steady rate depends only on applied stress and temperature. Such a non-unified model is useful for high-temperature structural analysis and is practical owing to the ease in determining material constants. The implicit integration is shown to result in two scalar-valued coupled equations, and the consistent Tangent Modulus is derived in a quite versatile form by introducing a set of fourth-rank constitutive parameters into the discretized evolution rule of back stress. The constitutive model is, then, implemented in a finite element program and applied to a lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the multilinear kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus certainly affords quadratic convergence to the Newton–Raphson iteration in solving nodal force equilibrium equations. Copyright © 2003 John Wiley & Sons, Ltd.
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Implicit Integration and Consistent Tangent Modulus of a Time-Dependent Non-Unified Constitutive Model.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 2003Co-Authors: Mineo Kobayashi, Minoru Mukai, Hiroyuki Takahashi, Tomofumi Ishikawa, Takashi Kawakami, Nobutada OhnoAbstract:This paper is concerned with the implicit integration and consistent Tangent Modulus of a high-temperature constitutive model, in which time-dependent inelastic strain rate consists of the transient part affected by kinematic and isotropic hardenings and the steady part depending on stress and temperature. Such a model is useful for high-temperature structure analysis and is practical because of the ease in determining material constants. The implicit integration is shown to result in two scalar-valued equations, and the consistent Tangent Modulus is derived in a general form by introducing a set of fourth-rank constitutive parameters into discretized kinematic hardening. The constitutive model is, then, implemented in a finite element program and applied to lead-free solder joint analysis. It is demonstrated that the implicit integration is very accurate if the kinematic hardening model of Ohno and Wang is employed, and that the consistent Tangent Modulus affords parabolic convergence to the Newton-Raphson iteration for solving nodal force equilibrium equations.
