Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface

Umbricht, Guillermo Federico; Tarzia, Domingo A.; Rubio, Diana

doi:10.18280/mmep.090302

Cited by 5 publications

(5 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof. The theorem can be easily proved following the idea developed in [17]. Observe that ζ 0 is strictly positive, which assures the existence and uniqueness of the solution.…”

Section: Determination Of Thermal Conductivities In Multilayer Materialsmentioning

confidence: 94%

“…The inverse problem of simultaneous determination of the thermal conductivities κ A , κ B and κ C from (1), ( 8) and ( 9) is considered. Let κ A , κ B and κ C be the approximated solutions that depend on noisy temperature measurements T ϵ 1 at x = l 1 , T ϵ 2 at x = l 2 , and T ϵ 3 at x = L, that satisfy the condition (17).…”

Section: Error Estimatementioning

confidence: 99%

“…On the other hand, in [19] different iterative methods are used. Particular problems of estimation of the thermal conductivity coefficient that take into account multidimensional, inhomogeneous and/or composite materials in [2], [5], [6], [8], [9], [16], [17]. Other interesting estimation strategies applied to phase change materials can be seen in [10]- [13].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Determination of Thermal Conductivities in Multilayer Materials

Umbricht¹,

Rubio

Tarzia³

2022

1790-5044

Self Cite

View full text Add to dashboard Cite

The objective of this work is the determination of the materials that make up a three-layer body, based on the simultaneous estimation of the thermal conductivity of the material of each layer. The body is exposed to a one-dimensional stationary, non-invasive, heat transfer process. It is assumed that the union of each pair of consecutive materials does not present thermal resistance. The parameters to be determined are estimated using three temperature measurements, one at each interface and another at the right edge of the body. The estimation is calculated analytically and a bound is given for the estimation error. In addition, an elasticity analysis is carried out to analyze the local dependence of each estimated parameter with respect to the data. A numerical example is included to illustrate and discuss the method proposed here.

show abstract

“…Proof. The theorem can be easily proved following the idea developed in [17]. Observe that ζ 0 is strictly positive, which assures the existence and uniqueness of the solution.…”

Section: Determination Of Thermal Conductivities In Multilayer Materialsmentioning

confidence: 94%

Section: Error Estimatementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Determination of Thermal Conductivities in Multilayer Materials

Umbricht¹,

Rubio

Tarzia³

2022

1790-5044

Self Cite

View full text Add to dashboard Cite

show abstract

“…A substantial number of scholars have fervently supported and constructed numerical models that depend on computational techniques, including finite difference and finite element methods [7,8]. These models are commonly utilized in the field through popular commercial software tools, including ANSYS, ABAQUS, LS-DYNA, and DYNA3D [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Simulation-Based Evaluation of Alumina and Weldox Steel Panels Against National Institute of Justice Type IV Ballistic Threats

Maulana,

Ubaidillah,

Dewi

et al. 2024

ACSM

View full text Add to dashboard Cite

This study sought to evaluate several panel configurations consisting of Alumina and Weldox 460 E Steel with the objective of advancing our comprehension of ballistic performance and impact resistance. The crucial parameters of Velocity Ballistic Limit (Vbl), depth of penetration (DOP), Deflection, and the deformation of projectiles and panels were thoroughly and rigorously investigated. The present study expands upon the existing body of research, drawing upon the groundwork established by previous studies. The validation is achieved by conducting a comparative analysis of our findings in relation to the previous researcher. In order to carry out these extensive simulations, we utilised the finite element method, explicitly employing the ANSYS/Explicit Dynamic solver AUTODYN and implementing a simplified 2D Axisymmetric model. A series of ballistic experiments were conducted using various combinations of Alumina and Weldox 460 E steel panels, covering a wide range of bullet velocities. Our analysis focused on seven-panel combinations, namely WL12, AL5+WL5, AL5+WL10, AL10+WL5, AL10+WL10, AL12+WL12, and AL15+WL15, each of which was distinct from the others. The results obtained from our calculations indicate that both the AL12+WL12 and AL15+WL15 panel configurations have met the stringent requirements of the National Institute of Justice (NIJ) Type IV standard in terms of their ability to withstand projectiles. The AL12+WL12 configuration demonstrated a depth of penetration (DOP) of 23 mm, a deflection of 4.3 mm, and a Velocity Ballistic Limit (Vbl) of 954.68m/s. The AL15+WL15 arrangement demonstrated notable performance, with a DOP of 21 mm, a deflection of 1.4 mm, and an impressive Vbl of 1345.9m/s, which stands in stark contrast to other configurations. The results of our investigation highlight the exceptional performance of the AL15+WL15 panel configuration in resisting NIJ Type IV bullets, thus solidifying its position as the most optimal selection.

show abstract

“…Solid-to-solid thermal contacts have been extensively studied to understand the underlying heat transfer mechanisms [1][2][3][4][5][6][7][8][9]. These studies have delved into various factors, such as contact pressure, material properties, surface characteristics, and interfacial conditions.…”

Section: Introductionmentioning

confidence: 99%

Analytical Modeling of Joule Heating in Electro-Thermal Contacts for Short-Term Industrial Applications

Benchadli,

Zemmouri,

Azzouz

et al. 2024

IJHT

View full text Add to dashboard Cite

In industrial processes such as machining, molding, disc brake operation, and spot welding, the thermal transfer at solid-solid interfaces, particularly with heat generation at the interface, is a critical area of study. This research presents a theoretical framework for addressing the direct problem of thermal conduction in electro-thermal contacts, with a focus on short-term scenarios where heat dissipation occurs through the Joule effect. This aspect, not extensively explored in existing literature, is investigated using a semianalytical method. The study also encompasses a simulation-based exploration, aimed at deepening the understanding of physical phenomena at the contact level. Special attention is given to the thermal transfers initiated at the asperity level of the electro-thermal contact. Findings from this investigation underscore the significance of incorporating the thermal diffusivity of materials into the model for achieving convergence. A notable observation is the increasing divergence over time between the temperatures predicted by numerical and analytical solutions, a trend more pronounced in materials with higher thermal diffusivity, such as titanium. This research contributes valuable insights into the modeling of contact parameters essential for simulating various industrial applications, potentially enhancing efficiency and efficacy in thermal engineering practices.

show abstract

Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface

Cited by 5 publications

References 17 publications

Determination of Thermal Conductivities in Multilayer Materials

Determination of Thermal Conductivities in Multilayer Materials

Simulation-Based Evaluation of Alumina and Weldox Steel Panels Against National Institute of Justice Type IV Ballistic Threats

Analytical Modeling of Joule Heating in Electro-Thermal Contacts for Short-Term Industrial Applications

Contact Info

Product

Resources

About