About an approximate method to solve the static boundary value problems in the isotropic hardening elastic-plastic solid

Phong, Ngo Thanh; Nguyen-Thoi, T.; Vinh, Nguyen Phu

doi:10.15625/0866-7136/28/2/5522

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Heat Transfer Problems1

Minh Ngoc Nguyen Tinh Quoc Bui and Tich Thien Truong1

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2019

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“…the initial condition, temperature at any given time steps within the time domain can be solved. Solution of the nonlinear equation 13is then obtained using the iterative Newton-Raphson scheme (see [16,17]). Convergence is achieved when the residual evaluated in Eq.…”

Section: Heat Transfer Problemsmentioning

confidence: 99%

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An enhanced nodal gradient finite element for non-linear heat transfer analysis

2019

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The present work is devoted to the analysis of non-linear heat transfer problems using the recent development of consective-interpolation procedure. Approximation of temperature is enhanced by taking into account both the nodal values and their averaged nodal gradients, which results in an improved finite element model. The novel formulation possesses many desirable properties including higher accuracy and higher-order continuity, without any change of the total number of degrees of freedom. The non-linear heat transfer problems equation is linearized and iteratively solved by the Newton-Raphson scheme. To show the accuracy and efficiency of the proposed method, several numerical examples are hence considered and analyzed.

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Section: Heat Transfer Problemsmentioning

confidence: 99%

“…It is expected that the cylinder will be gradually heated from the inner wall to the outer wall. The dependency of specific heat capacity [16] and thermal conductivity [17] on temperature from 400 K to 600 K is presented in Table 1. Values that are not found in Table 1 will be linearly interpolated.…”

Section: Minh Ngoc Nguyen Tinh Quoc Bui and Tich Thien Truongmentioning

confidence: 99%