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COMSOL Inc finite element (fem) simulation models
Finite Element (Fem) Simulation Models, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Vickers indentation apparatus and properties of sapphire block.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Vickers indentation apparatus and properties of sapphire block.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques: Blocking Assay

Sapphire Vickers indentation surface morphology with multiple crystal orientations through SEM: ( a ) 1 kgf of A-plane, ( b ) 5 kgf of A-plane, ( c ) 5 kgf of C-plane, ( d ) 10 kgf of C-plane, ( e ) 1 kgf of M-plane, and ( f ) 10 kgf of M-plane.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Sapphire Vickers indentation surface morphology with multiple crystal orientations through SEM: ( a ) 1 kgf of A-plane, ( b ) 5 kgf of A-plane, ( c ) 5 kgf of C-plane, ( d ) 10 kgf of C-plane, ( e ) 1 kgf of M-plane, and ( f ) 10 kgf of M-plane.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Sapphire Vickers indentation surface morphology under the load of 3 kgf: ( a ) 3 kgf of the A-plane, ( b ) 3 kgf of the C-plane, and ( c ) 3 kgf of the M-plane.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Sapphire Vickers indentation surface morphology under the load of 3 kgf: ( a ) 3 kgf of the A-plane, ( b ) 3 kgf of the C-plane, and ( c ) 3 kgf of the M-plane.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Vickers indentation surface morphology of sapphire under 20 and 30 kgf load by SEM: ( a ) 20 kgf of A-plane, ( b ) 30 kgf of A-plane, ( c ) 20 kgf of C-plane, ( d ) 30 kgf of C-plane, ( e ) 20 kgf of M-plane, ( f ) 30 kgf of M-plane.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Vickers indentation surface morphology of sapphire under 20 and 30 kgf load by SEM: ( a ) 20 kgf of A-plane, ( b ) 30 kgf of A-plane, ( c ) 20 kgf of C-plane, ( d ) 30 kgf of C-plane, ( e ) 20 kgf of M-plane, ( f ) 30 kgf of M-plane.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Surface topography simulation of C-plane sapphire under Vickers indentation: ( a ) 1 kgf of C-plane, ( b ) 3 kgf of C-plane, ( c ) 5 kgf of C-plane, ( d ) 10 kgf of C-plane.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Surface topography simulation of C-plane sapphire under Vickers indentation: ( a ) 1 kgf of C-plane, ( b ) 3 kgf of C-plane, ( c ) 5 kgf of C-plane, ( d ) 10 kgf of C-plane.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Load–displacement curve of Vickers indentation: ( a1 ) A-plane sapphire under 1 kgf load, ( a2 ) C-plane sapphire under 3 kgf load, ( a3 ) M-plane sapphire under 10 kgf load, ( b ) plastic piling-up displacement curve.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Load–displacement curve of Vickers indentation: ( a1 ) A-plane sapphire under 1 kgf load, ( a2 ) C-plane sapphire under 3 kgf load, ( a3 ) M-plane sapphire under 10 kgf load, ( b ) plastic piling-up displacement curve.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Stress field of sapphire Vickers indentation: ( a ) spherical coordinates and ( b ) indentation stress field and cracks.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Stress field of sapphire Vickers indentation: ( a ) spherical coordinates and ( b ) indentation stress field and cracks.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Nucleation and propagation of indentation cracks in Vickers indenter during loading and unloading of A-plane sapphire under a 1 kgf load.

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Nucleation and propagation of indentation cracks in Vickers indenter during loading and unloading of A-plane sapphire under a 1 kgf load.

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Nucleation and propagation of indentation cracks in Vickers indenter during loading and unloading of C-plane sapphire under 3 kgf load ( a1 – a3 ), M-plane sapphire under 10 kgf load ( b1 – b3 ).

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Nucleation and propagation of indentation cracks in Vickers indenter during loading and unloading of C-plane sapphire under 3 kgf load ( a1 – a3 ), M-plane sapphire under 10 kgf load ( b1 – b3 ).

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques:

Residual stress field during Vickers indentation unloading process, ( a ) σ R xx , ( b ) σ R yy , ( c ) σ R zz .

Journal: Materials

Article Title: Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

doi: 10.3390/ma18225136

Figure Lengend Snippet: Residual stress field during Vickers indentation unloading process, ( a ) σ R xx , ( b ) σ R yy , ( c ) σ R zz .

Article Snippet: The orthotropic sapphire Vickers indentation finite element simulation model was numerically built by utilizing commercial software ABAQUS (version 2025).

Techniques: