References | Model | Material properties | Boundary and loading conditions | Model validation | Software and computational cost |
---|---|---|---|---|---|
Chen
et al.( |
Foot: soft tissue, bone (only calcaneus); Shoe: insole, heel counter, midsole, outsole. |
Foot: hyperelastic for soft tissue and rigid body for calcaneus; Shoe: purely elastic for insole and midsole; linearly elastic for heel counter and outsole. |
1-) Fix the support plate; 2-) Apply the landing impact force to the heel pad. |
1-) Impact force pattern; 2-) Heel pad deformation; 3-) Plantar pressure. (published literature data) |
ABAQUS 6.12 Two Intel Xeon processor, 5h 12min (3D model), 7min (2D model). |
Even-Tzur
et al.( |
Foot: soft tissue, bone (only calcaneus); Shoe: midsole. |
Foot: linearly elastic for calcaneus, nonlinear viscoelastic for heel pad; Shoe: linear viscoelastic. |
1-) Fix the midsole or heel pad; 2-) Apply sinusoidal force wave on the superior surface of the calcaneus. |
NA | COSMOSWorks 2005 NA |
Hannah
et al.( |
Foot: soft tissue; Shoe: midsole, outsole. |
Foot: hyperelastic; Shoe: hyperelastic. |
1-) Introduce a homogeneous 3D structure of a foot prosthesis into the assembled model, connecting its plantar surface nodes to the calcaneal, metatarsal, and phalangeal plates; 2-) Apply the 6 degrees of freedom foot segment kinematics to the three foot plates through rigid body reference points. |
1-) GRF; 2-) Center of pressure. |
ABAQUS 6.12 NA |
Li
et al.( |
Foot: soft tissue, bones, cartilage, Achilles tendon; Shoe: upper, insole, midsole, outsole. |
Foot: linearly elastic for all component except soft tissue (hyperelastic); Shoe: linearly elastic for all component except outsole (hyperelastic). |
1-) Fix the proximal surfaces of the soft tissue, tibia, and fibula; 2-) Apply vertical concentrated forces in 100N increments under the support plate for each condition; 3-) Apply the AT forces to the distal Achilles tendon through the muscle connectors. |
1-) Plantar pressure. |
ABAQUS 6.13 Four Intel Core i7-7700K processor, 6h 10min |
Nonogawa
et al.( |
Foot: soft tissue, bones, plantar fascia; Shoe: sole. |
Foot: linearly elastic for all component except soft tissue (hyperelastic); Shoe: linearly elastic. |
1-) Fix the sole; 2-) Apply the ankle joint force and moment at the independent node at the origin of the ankle joint coordinate system; 3-) Apply the body force due to total body weight to all elements. |
2) Plantar pressure; 3) Contact area. |
ABAQUS 2018 NA |
Song
et al.( |
Foot: soft tissue, bones, ligaments (including plantar fascia); Shoe: upper, sole, carbon-fiber plate. |
Foot: linearly elastic; Shoe: linearly elastic. |
1-) Fix the proximal surfaces of the soft tissue, tibia, fibula, and shoe tongue; 2-) Apply the AT force at the superior surface of the calcaneus through the muscle connectors; 3-) Apply the MTP joint contact force on the top surface of the middle cuneiform; 4-) Iterate the continuous displacement load under the plate until the simulated force reaches the GRF value. |
1-) Plantar pressure; 2-) Outsole pressure. |
ANSYS 2021 R1 Four Intel Core i7-8565U processor, 8h 6min |
Song
et al.( |
Foot: soft tissue, bones, ligaments (including plantar fascia); Shoe: upper, sole, carbon-fiber plate. |
Foot: linearly elastic; Shoe: linearly elastic. |
1-) Fix the proximal surfaces of the soft tissue, tibia, fibula, and shoe tongue; 2-) Apply the AT force at the superior surface of the calcaneus through the muscle connectors; 3-) Apply the MTP joint contact force on the top surface of the middle cuneiform; 4-) Iterate the continuous displacement load under the plate until the simulated force reaches the GRF value. |
1-) Plantar pressure; 2-) Outsole pressure. |
ANSYS 2021 R1 Four Intel Core i7-8565U processor, 8h 11min |
Verdejo
et al.( |
Foot: soft tissue, bone (only calcaneus); Shoe: midsole. |
Foot: hyperelastic; Shoe: hyperelastic. |
1-) Fix the midsole; 2-) Ramp down the upper calcaneus boundary by 20 mm (12 mm when no foam is present). |
1-) Plantar pressure. |
ABAQUS 6.3 NA |
Yang
et al.( |
Foot: soft tissue, bones, cartilages, ligaments (including plantar fascia); Shoe: upper, heel cup, insole, midsole, outsole. |
Foot: linearly elastic; Shoe: linearly elastic for upper and outsole, hyperelastic for heel cup, insole, and midsole. |
1-) Fix the proximal surfaces of the soft tissue, tibia, fibula, and shoe tongue; 2-) Apply the AT force at the superior surface of the calcaneus through the muscle connectors; 3-) Apply the ankle joint contact force on the top surface of the talus; 4-) Iterate the continuous displacement load under the plate until the simulated force reaches the GRF value. |
1-) Plantar pressure; 2-) Outsole pressure. |
ANSYS 19.0 NA |
Zhou
et al.( |
Foot: soft tissue, bones, cartilages, ligaments (including plantar fascia); Shoe: insole, midsole, outsole. |
Foot: linearly elastic for all component except soft tissue and skin (hyperelastic); Shoe: linearly elastic. |
1-) Fix the support plate; 2-) Add the initial landing velocity to the finite element model; 3-) Apply the ankle joint moment and ankle joint reaction force to the slipring connectors and tibiotalar articular surface of the talus, respectively; 4-) Apply the MPJ joint force on the top surface of the middle cuneiform bone. |
1) Vertical displacement of the navicular bone. | ANSYS 2021 R1 Fourteen Intel Core Ultra 5 processors, 4h 4min |
Zhou
et al.( |
Foot: soft tissue, bones, cartilages, Achilles tendon, ligaments (including plantar fascia); Shoe: insole, midsole, outsole. |
Foot: linearly elastic for all component except soft tissue (hyperelastic); Shoe: linearly elastic. |
1-) Fix the proximal surfaces of the soft tissue, tibia, and fibula; 2-) Apply the five muscle force through the muscle connectors; 3-) Apply the vertical GRF to the support plate. |
1) Vertical displacement of the navicular bone. | ANSYS 2021 R1 Fourteen Intel Core Ultra 5 processors, 4h 12min |
Zhu
et al.( |
Foot: soft tissue, bones, cartilages, ligaments (including plantar fascia); Shoe: upper, midsole, outsole. |
Foot: linearly elastic; Shoe: linearly elastic for all component except midsole (hyperelastic). |
1-) Fix the ground support plate and the upper ends of the tibia and fibula; 2-) Apply the net joint force to the middle part of the upper surface of the talus; 3-) Apply the AT force to the attachment point of the Achilles tendon via the node force. |
1-) Plantar pressure; 2-) Outsole pressure. |
ANSYS 12.1 Six Intel Core i7-8700k processor, 6h |