Analytical formulations and solutions for the thick rectangular plate static analysis with clampe... more Analytical formulations and solutions for the thick rectangular plate static analysis with clamped support based on a three-dimensional (3-D) elasticity theory is developed using the energy method. The theoretical model, whose formulation is based on the static elastic principle as already reported in the literature, is presented herein to obviate the shear correction coefficients while considering shear deformation effect and transverse normal strain/stress in the analysis. The equilibrium equations are obtained using 3-D kinematic and constitutive relations. The deflection and rotation functions, which are the solutions of the equilibrium equation, are obtained in closed form using a general variational technique for solving the boundary value problem. The minimization energy equation yields the general equation which was used to obtain the theoretical model for the deflection and stresses of the plate. The results are compared with the available literature and the results-compute...
MP MATERIALPRUEFUNG - MP MATERIALS TESTING, Mar 1, 2022
In this study, the ultimate tensile strength (UTS), elongation (ELG) and tensile modulus (TEM) of... more In this study, the ultimate tensile strength (UTS), elongation (ELG) and tensile modulus (TEM) of a recycled low-density polyethylene groundnut shell fiber composite (r-LDPE/GSF) were modeled and simulated when considered particle size (PS) and fiber content (FC) of groundnut shell fiber (GSF) by applying response surface techniques (RSM) for structural application. The deposit of recycled low-density polyethylene (r-LDPE) and GSF, an agro-waste, were combined in the production of r-LDPE/GSF composite at PS of 50–70 mesh (300–212 µm) and FC of 10–30 wt% of the GSF. The manufactured r-LDPE/GSF composite was tested for UTS, ELG and TEM and optimized by considering these process variables of GSF, PS and FC with RSM. The outcome indicated that at optimum condition, the UTS, ELG and TEM were 8.5072 MPa, 12.83% and 0.94007 GPa, respectively. The parameters at this point were PS and FC of 60.48 mesh (250 µm) and 30 wt%, respectively. The coefficient of determination (R 2) was close to 0.99. The percentage of relative errors between raw experimental reading and the RSM was <0.16. Based on the result of the work, the predicted RSM data on tensile properties of r-LDPE/GSF composite shows that is a potential engineering material for structural application.
The circulation of recycled low density polyethylene (r-LDPE) globally, using Nigeria as point of... more The circulation of recycled low density polyethylene (r-LDPE) globally, using Nigeria as point of reference is emphasized in this work. The need for combining r-LDPE with a less expensive organic fiber as an economical alternative material in panel production for printer component to reduce waste through recycling. In this study, the particle size (PS) and fiber content (FC) of date palm wood fiber (DPWF) in a r-LDPE matrix are essential factors to be considered for optimizing flexural strength (FS), flexural modulus (FM) and Izod impact strength (IIS) of r-LDPE-DPWF (recycled low density polyethylene-date palm wood fiber) composite for producing printer components. The variant FC and PS of the DPWF was compounded in r-LDPE matrix to optimize the FS, FM and IIS of r-LDPE-DPWF composite, using a central composite design (CCD) as a response surface methodology (RSM). The DPWF and r-LDPE-DPWF composite were analyzed by Fourier transformed infrared (FTIR). The results indicated that the...
In this paper, a three-dimensional (3D) plate theory was used to investigate the stability analys... more In this paper, a three-dimensional (3D) plate theory was used to investigate the stability analysis of an isotropic thick rectangular plate that is clamped in its three edges and one simply supported edge (CCCS) under uniaxial compression using polynomial displacement function. Using three dimensional constitutive relations, the total energy equation for the plate was developed and consequently the equations of compatibility were designed to obtain the relations between the deflection and shear deformation rotation along the direction of x and y coordinates. To obtain the governing equation, this total potential energy functional was differentiated with respect to deflection. The functions for these slopes were obtained from out of plane function using the solution of compatibility equations while the solution of the governing equation is the function for the out of plane displacement. The potential energy equation was minimized with respect to coefficients of deflection after incorporating the rotations and out of plane displacement equation to generate the expression for the calculation of the critical buckling load and other functions. The stiffness properties and aspect ratios were varied to ascertain the buckling behaviour of the plate. The outcome of the numerical analysis revealed that increase in the span-thickness ratio led to increased value of the critical buckling load which implies that the plate structure is safe when the plate thickness is increased. The results obtained in this study were compared with similar works by other researchers available in the literature and were found to follow identical pattern but quite distinct in validation.
This paper was based on the application of novel breadfruit peel fiber (BFPF), a cheap agro-waste... more This paper was based on the application of novel breadfruit peel fiber (BFPF), a cheap agro-waste as reinforcer in low-density polyethylene matrix (LDPE) to produce breadfruit peel fiber-low-density-polyethylene composite (BFPF-LDPE) for industrial production. To achieve this, the influence of BFPF weight at different treatment routes on the mechanical properties and water absorption resistance of LDPE was examined. The BFPF was modified with sodium hydroxide (MS), sodium hydroxide/acetic acid (AM) and sodium hydroxide/acetic acid/maleated polyethylene (MM). The results showed that the treatment of BFPF with sodium hydroxide/acetic acid/maleated polyethylene gave better properties than composites produced with either sodium hydroxide or combination of sodium hydroxide/ acetic acid treatment, while untreated (UM) composite provided the poorest. This is a result of anhydride radical in MM which is absent in AM and MS. However, the tensile and impact strength for the crude LDPE indicat...
In this paper, a new polynomial shear deformation theory for the static flexural analysis of anis... more In this paper, a new polynomial shear deformation theory for the static flexural analysis of anisotropic rectangular thick plate was developed. The plate which carries a uniformly distributed load is clamped on the three edges, and free of support on the other edge (CCFC), is analyzed to determine the in-plane displacement, vertical displacement, bending moment, and shear force, bending and transverse shear stress. The General variation approach was used to obtain the general governing equation and its associated boundary conditions, thereafter the coefficient of deflection and shear deformation along the direction of x and y coordinate was determined by minimizing the energy equation obtained using the new established theory. The study revealed that: (i) as the displacement and stress decrease, the plate's span-thickness ratio increases (ii) as the length to breadth ratio of the plate increases, the value of displacement and stresses increase. To validate the theory, the numerical results are obtained and compared with an available solution in the literature. The result showed good agreement with those in the literature.
Analytical formulations and solutions for the thick rectangular plate static analysis with clampe... more Analytical formulations and solutions for the thick rectangular plate static analysis with clamped support based on a three-dimensional (3-D) elasticity theory is developed using the energy method. The theoretical model, whose formulation is based on the static elastic principle as already reported in the literature, is presented herein to obviate the shear correction coefficients while considering shear deformation effect and transverse normal strain/stress in the analysis. The equilibrium equations are obtained using 3-D kinematic and constitutive relations. The deflection and rotation functions, which are the solutions of the equilibrium equation, are obtained in closed form using a general variational technique for solving the boundary value problem. The minimization energy equation yields the general equation which was used to obtain the theoretical model for the deflection and stresses of the plate. The results are compared with the available literature and the results-compute...
MP MATERIALPRUEFUNG - MP MATERIALS TESTING, Mar 1, 2022
In this study, the ultimate tensile strength (UTS), elongation (ELG) and tensile modulus (TEM) of... more In this study, the ultimate tensile strength (UTS), elongation (ELG) and tensile modulus (TEM) of a recycled low-density polyethylene groundnut shell fiber composite (r-LDPE/GSF) were modeled and simulated when considered particle size (PS) and fiber content (FC) of groundnut shell fiber (GSF) by applying response surface techniques (RSM) for structural application. The deposit of recycled low-density polyethylene (r-LDPE) and GSF, an agro-waste, were combined in the production of r-LDPE/GSF composite at PS of 50–70 mesh (300–212 µm) and FC of 10–30 wt% of the GSF. The manufactured r-LDPE/GSF composite was tested for UTS, ELG and TEM and optimized by considering these process variables of GSF, PS and FC with RSM. The outcome indicated that at optimum condition, the UTS, ELG and TEM were 8.5072 MPa, 12.83% and 0.94007 GPa, respectively. The parameters at this point were PS and FC of 60.48 mesh (250 µm) and 30 wt%, respectively. The coefficient of determination (R 2) was close to 0.99. The percentage of relative errors between raw experimental reading and the RSM was <0.16. Based on the result of the work, the predicted RSM data on tensile properties of r-LDPE/GSF composite shows that is a potential engineering material for structural application.
The circulation of recycled low density polyethylene (r-LDPE) globally, using Nigeria as point of... more The circulation of recycled low density polyethylene (r-LDPE) globally, using Nigeria as point of reference is emphasized in this work. The need for combining r-LDPE with a less expensive organic fiber as an economical alternative material in panel production for printer component to reduce waste through recycling. In this study, the particle size (PS) and fiber content (FC) of date palm wood fiber (DPWF) in a r-LDPE matrix are essential factors to be considered for optimizing flexural strength (FS), flexural modulus (FM) and Izod impact strength (IIS) of r-LDPE-DPWF (recycled low density polyethylene-date palm wood fiber) composite for producing printer components. The variant FC and PS of the DPWF was compounded in r-LDPE matrix to optimize the FS, FM and IIS of r-LDPE-DPWF composite, using a central composite design (CCD) as a response surface methodology (RSM). The DPWF and r-LDPE-DPWF composite were analyzed by Fourier transformed infrared (FTIR). The results indicated that the...
In this paper, a three-dimensional (3D) plate theory was used to investigate the stability analys... more In this paper, a three-dimensional (3D) plate theory was used to investigate the stability analysis of an isotropic thick rectangular plate that is clamped in its three edges and one simply supported edge (CCCS) under uniaxial compression using polynomial displacement function. Using three dimensional constitutive relations, the total energy equation for the plate was developed and consequently the equations of compatibility were designed to obtain the relations between the deflection and shear deformation rotation along the direction of x and y coordinates. To obtain the governing equation, this total potential energy functional was differentiated with respect to deflection. The functions for these slopes were obtained from out of plane function using the solution of compatibility equations while the solution of the governing equation is the function for the out of plane displacement. The potential energy equation was minimized with respect to coefficients of deflection after incorporating the rotations and out of plane displacement equation to generate the expression for the calculation of the critical buckling load and other functions. The stiffness properties and aspect ratios were varied to ascertain the buckling behaviour of the plate. The outcome of the numerical analysis revealed that increase in the span-thickness ratio led to increased value of the critical buckling load which implies that the plate structure is safe when the plate thickness is increased. The results obtained in this study were compared with similar works by other researchers available in the literature and were found to follow identical pattern but quite distinct in validation.
This paper was based on the application of novel breadfruit peel fiber (BFPF), a cheap agro-waste... more This paper was based on the application of novel breadfruit peel fiber (BFPF), a cheap agro-waste as reinforcer in low-density polyethylene matrix (LDPE) to produce breadfruit peel fiber-low-density-polyethylene composite (BFPF-LDPE) for industrial production. To achieve this, the influence of BFPF weight at different treatment routes on the mechanical properties and water absorption resistance of LDPE was examined. The BFPF was modified with sodium hydroxide (MS), sodium hydroxide/acetic acid (AM) and sodium hydroxide/acetic acid/maleated polyethylene (MM). The results showed that the treatment of BFPF with sodium hydroxide/acetic acid/maleated polyethylene gave better properties than composites produced with either sodium hydroxide or combination of sodium hydroxide/ acetic acid treatment, while untreated (UM) composite provided the poorest. This is a result of anhydride radical in MM which is absent in AM and MS. However, the tensile and impact strength for the crude LDPE indicat...
In this paper, a new polynomial shear deformation theory for the static flexural analysis of anis... more In this paper, a new polynomial shear deformation theory for the static flexural analysis of anisotropic rectangular thick plate was developed. The plate which carries a uniformly distributed load is clamped on the three edges, and free of support on the other edge (CCFC), is analyzed to determine the in-plane displacement, vertical displacement, bending moment, and shear force, bending and transverse shear stress. The General variation approach was used to obtain the general governing equation and its associated boundary conditions, thereafter the coefficient of deflection and shear deformation along the direction of x and y coordinate was determined by minimizing the energy equation obtained using the new established theory. The study revealed that: (i) as the displacement and stress decrease, the plate's span-thickness ratio increases (ii) as the length to breadth ratio of the plate increases, the value of displacement and stresses increase. To validate the theory, the numerical results are obtained and compared with an available solution in the literature. The result showed good agreement with those in the literature.
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